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Finding the Fourth Proportional to 152.31, 227.38 and 129.25

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Solution

The fourth proportional to 152.31, 227.38 and 129.25 is: 192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.31 : 227.38 = 129.25 : x
  2. Step 2: Convert to fraction form
    152.31/227.38 = 129.25/x
  3. Step 3: Cross multiply
    152.31x = 227.38 × 129.25
  4. Step 4: Simplify right side
    152.31x = 29,388.15
  5. Step 5: Solve for x
    x = 29,388.15/152.31
  6. Step 6: Final answer
    x = 192.96

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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.