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Finding the Fourth Proportional to 140.16, 210.24 and 86.38

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Solution

The fourth proportional to 140.16, 210.24 and 86.38 is: 129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.16 : 210.24 = 86.38 : x
  2. Step 2: Convert to fraction form
    140.16/210.24 = 86.38/x
  3. Step 3: Cross multiply
    140.16x = 210.24 × 86.38
  4. Step 4: Simplify right side
    140.16x = 18,160.53
  5. Step 5: Solve for x
    x = 18,160.53/140.16
  6. Step 6: Final answer
    x = 129.57

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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.