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Finding the Fourth Proportional to 153.92, 232.34 and 152.30

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Solution

The fourth proportional to 153.92, 232.34 and 152.30 is: 229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.92 : 232.34 = 152.30 : x
  2. Step 2: Convert to fraction form
    153.92/232.34 = 152.30/x
  3. Step 3: Cross multiply
    153.92x = 232.34 × 152.30
  4. Step 4: Simplify right side
    153.92x = 35,383.46
  5. Step 5: Solve for x
    x = 35,383.46/153.92
  6. Step 6: Final answer
    x = 229.89

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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.