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Finding the Fourth Proportional to 432.64, 649.92 and 261.76

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Solution

The fourth proportional to 432.64, 649.92 and 261.76 is: 393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.64 : 649.92 = 261.76 : x
  2. Step 2: Convert to fraction form
    432.64/649.92 = 261.76/x
  3. Step 3: Cross multiply
    432.64x = 649.92 × 261.76
  4. Step 4: Simplify right side
    432.64x = 170,123.06
  5. Step 5: Solve for x
    x = 170,123.06/432.64
  6. Step 6: Final answer
    x = 393.22

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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.