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Finding the Fourth Proportional to 151.16, 208.28 and 129.28

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Solution

The fourth proportional to 151.16, 208.28 and 129.28 is: 178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.16 : 208.28 = 129.28 : x
  2. Step 2: Convert to fraction form
    151.16/208.28 = 129.28/x
  3. Step 3: Cross multiply
    151.16x = 208.28 × 129.28
  4. Step 4: Simplify right side
    151.16x = 26,926.44
  5. Step 5: Solve for x
    x = 26,926.44/151.16
  6. Step 6: Final answer
    x = 178.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.