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Finding the Fourth Proportional to 555.52, 832.96 and 281.76

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Solution

The fourth proportional to 555.52, 832.96 and 281.76 is: 422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.52 : 832.96 = 281.76 : x
  2. Step 2: Convert to fraction form
    555.52/832.96 = 281.76/x
  3. Step 3: Cross multiply
    555.52x = 832.96 × 281.76
  4. Step 4: Simplify right side
    555.52x = 234,694.81
  5. Step 5: Solve for x
    x = 234,694.81/555.52
  6. Step 6: Final answer
    x = 422.48

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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.