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Finding the Fourth Proportional to 102.65, 140.41 and 102.24

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Solution

The fourth proportional to 102.65, 140.41 and 102.24 is: 139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.65 : 140.41 = 102.24 : x
  2. Step 2: Convert to fraction form
    102.65/140.41 = 102.24/x
  3. Step 3: Cross multiply
    102.65x = 140.41 × 102.24
  4. Step 4: Simplify right side
    102.65x = 14,355.52
  5. Step 5: Solve for x
    x = 14,355.52/102.65
  6. Step 6: Final answer
    x = 139.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.