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Finding the Fourth Proportional to 140.07, 209.59 and 82.32

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Solution

The fourth proportional to 140.07, 209.59 and 82.32 is: 123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.07 : 209.59 = 82.32 : x
  2. Step 2: Convert to fraction form
    140.07/209.59 = 82.32/x
  3. Step 3: Cross multiply
    140.07x = 209.59 × 82.32
  4. Step 4: Simplify right side
    140.07x = 17,252.46
  5. Step 5: Solve for x
    x = 17,252.46/140.07
  6. Step 6: Final answer
    x = 123.17

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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.