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Finding the Fourth Proportional to 730.11, 1,095.14 and 210.11

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Solution

The fourth proportional to 730.11, 1,095.14 and 210.11 is: 315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.11 : 1,095.14 = 210.11 : x
  2. Step 2: Convert to fraction form
    730.11/1,095.14 = 210.11/x
  3. Step 3: Cross multiply
    730.11x = 1,095.14 × 210.11
  4. Step 4: Simplify right side
    730.11x = 230,096.60
  5. Step 5: Solve for x
    x = 230,096.60/730.11
  6. Step 6: Final answer
    x = 315.16

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Half scale
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Double scale
Find fourth proportional to 731.11, 1,096.64 and 211.11
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.