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Finding the Fourth Proportional to 730.23, 1,095.21 and 243.27

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Solution

The fourth proportional to 730.23, 1,095.21 and 243.27 is: 364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.23 : 1,095.21 = 243.27 : x
  2. Step 2: Convert to fraction form
    730.23/1,095.21 = 243.27/x
  3. Step 3: Cross multiply
    730.23x = 1,095.21 × 243.27
  4. Step 4: Simplify right side
    730.23x = 266,431.74
  5. Step 5: Solve for x
    x = 266,431.74/730.23
  6. Step 6: Final answer
    x = 364.86

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Double scale
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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.