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Finding the Fourth Proportional to 210.15, 316.68 and 180.11

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Solution

The fourth proportional to 210.15, 316.68 and 180.11 is: 271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.15 : 316.68 = 180.11 : x
  2. Step 2: Convert to fraction form
    210.15/316.68 = 180.11/x
  3. Step 3: Cross multiply
    210.15x = 316.68 × 180.11
  4. Step 4: Simplify right side
    210.15x = 57,035.65
  5. Step 5: Solve for x
    x = 57,035.65/210.15
  6. Step 6: Final answer
    x = 271.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.