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Finding the Fourth Proportional to 140.74, 209.53 and 140.06

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Solution

The fourth proportional to 140.74, 209.53 and 140.06 is: 208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.74 : 209.53 = 140.06 : x
  2. Step 2: Convert to fraction form
    140.74/209.53 = 140.06/x
  3. Step 3: Cross multiply
    140.74x = 209.53 × 140.06
  4. Step 4: Simplify right side
    140.74x = 29,346.95
  5. Step 5: Solve for x
    x = 29,346.95/140.74
  6. Step 6: Final answer
    x = 208.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.