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Finding the Fourth Proportional to 398.96, 595.18 and 391.76

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Solution

The fourth proportional to 398.96, 595.18 and 391.76 is: 584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.96 : 595.18 = 391.76 : x
  2. Step 2: Convert to fraction form
    398.96/595.18 = 391.76/x
  3. Step 3: Cross multiply
    398.96x = 595.18 × 391.76
  4. Step 4: Simplify right side
    398.96x = 233,167.72
  5. Step 5: Solve for x
    x = 233,167.72/398.96
  6. Step 6: Final answer
    x = 584.44

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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.