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Finding the Fourth Proportional to 387.28, 577.68 and 343.52

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Solution

The fourth proportional to 387.28, 577.68 and 343.52 is: 512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.28 : 577.68 = 343.52 : x
  2. Step 2: Convert to fraction form
    387.28/577.68 = 343.52/x
  3. Step 3: Cross multiply
    387.28x = 577.68 × 343.52
  4. Step 4: Simplify right side
    387.28x = 198,444.63
  5. Step 5: Solve for x
    x = 198,444.63/387.28
  6. Step 6: Final answer
    x = 512.41

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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.