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Finding the Fourth Proportional to 153.69, 229.17 and 152.31

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Solution

The fourth proportional to 153.69, 229.17 and 152.31 is: 227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.69 : 229.17 = 152.31 : x
  2. Step 2: Convert to fraction form
    153.69/229.17 = 152.31/x
  3. Step 3: Cross multiply
    153.69x = 229.17 × 152.31
  4. Step 4: Simplify right side
    153.69x = 34,906.31
  5. Step 5: Solve for x
    x = 34,906.31/153.69
  6. Step 6: Final answer
    x = 227.13

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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.