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Finding the Fourth Proportional to 140.04, 209.84 and 129.02

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Solution

The fourth proportional to 140.04, 209.84 and 129.02 is: 193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.04 : 209.84 = 129.02 : x
  2. Step 2: Convert to fraction form
    140.04/209.84 = 129.02/x
  3. Step 3: Cross multiply
    140.04x = 209.84 × 129.02
  4. Step 4: Simplify right side
    140.04x = 27,071.86
  5. Step 5: Solve for x
    x = 27,071.86/140.04
  6. Step 6: Final answer
    x = 193.32

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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.