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Finding the Fourth Proportional to 140.30, 208.85 and 139.62

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Solution

The fourth proportional to 140.30, 208.85 and 139.62 is: 207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.30 : 208.85 = 139.62 : x
  2. Step 2: Convert to fraction form
    140.30/208.85 = 139.62/x
  3. Step 3: Cross multiply
    140.30x = 208.85 × 139.62
  4. Step 4: Simplify right side
    140.30x = 29,159.72
  5. Step 5: Solve for x
    x = 29,159.72/140.30
  6. Step 6: Final answer
    x = 207.84

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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.