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Finding the Fourth Proportional to 401.60, 600.31 and 391.88

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Solution

The fourth proportional to 401.60, 600.31 and 391.88 is: 585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 600.31 = 391.88 : x
  2. Step 2: Convert to fraction form
    401.60/600.31 = 391.88/x
  3. Step 3: Cross multiply
    401.60x = 600.31 × 391.88
  4. Step 4: Simplify right side
    401.60x = 235,249.48
  5. Step 5: Solve for x
    x = 235,249.48/401.60
  6. Step 6: Final answer
    x = 585.78

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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.