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Finding the Fourth Proportional to 510.32, 765.54 and 232.63

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Solution

The fourth proportional to 510.32, 765.54 and 232.63 is: 348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.32 : 765.54 = 232.63 : x
  2. Step 2: Convert to fraction form
    510.32/765.54 = 232.63/x
  3. Step 3: Cross multiply
    510.32x = 765.54 × 232.63
  4. Step 4: Simplify right side
    510.32x = 178,087.57
  5. Step 5: Solve for x
    x = 178,087.57/510.32
  6. Step 6: Final answer
    x = 348.97

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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.