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Finding the Fourth Proportional to 138.71, 208.93 and 116.24

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Solution

The fourth proportional to 138.71, 208.93 and 116.24 is: 175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.71 : 208.93 = 116.24 : x
  2. Step 2: Convert to fraction form
    138.71/208.93 = 116.24/x
  3. Step 3: Cross multiply
    138.71x = 208.93 × 116.24
  4. Step 4: Simplify right side
    138.71x = 24,284.91
  5. Step 5: Solve for x
    x = 24,284.91/138.71
  6. Step 6: Final answer
    x = 175.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.