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Finding the Fourth Proportional to 151.69, 227.40 and 129.01

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Solution

The fourth proportional to 151.69, 227.40 and 129.01 is: 193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.69 : 227.40 = 129.01 : x
  2. Step 2: Convert to fraction form
    151.69/227.40 = 129.01/x
  3. Step 3: Cross multiply
    151.69x = 227.40 × 129.01
  4. Step 4: Simplify right side
    151.69x = 29,336.87
  5. Step 5: Solve for x
    x = 29,336.87/151.69
  6. Step 6: Final answer
    x = 193.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.