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Finding the Fourth Proportional to 140.12, 208.64 and 139.16

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Solution

The fourth proportional to 140.12, 208.64 and 139.16 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.12 : 208.64 = 139.16 : x
  2. Step 2: Convert to fraction form
    140.12/208.64 = 139.16/x
  3. Step 3: Cross multiply
    140.12x = 208.64 × 139.16
  4. Step 4: Simplify right side
    140.12x = 29,034.34
  5. Step 5: Solve for x
    x = 29,034.34/140.12
  6. Step 6: Final answer
    x = 207.21

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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.