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Finding the Fourth Proportional to 140.30, 208.92 and 139.70

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Solution

The fourth proportional to 140.30, 208.92 and 139.70 is: 208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.30 : 208.92 = 139.70 : x
  2. Step 2: Convert to fraction form
    140.30/208.92 = 139.70/x
  3. Step 3: Cross multiply
    140.30x = 208.92 × 139.70
  4. Step 4: Simplify right side
    140.30x = 29,186.12
  5. Step 5: Solve for x
    x = 29,186.12/140.30
  6. Step 6: Final answer
    x = 208.03

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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.