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Finding the Fourth Proportional to 397.89, 595.46 and 315.88

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Solution

The fourth proportional to 397.89, 595.46 and 315.88 is: 472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 595.46 = 315.88 : x
  2. Step 2: Convert to fraction form
    397.89/595.46 = 315.88/x
  3. Step 3: Cross multiply
    397.89x = 595.46 × 315.88
  4. Step 4: Simplify right side
    397.89x = 188,093.90
  5. Step 5: Solve for x
    x = 188,093.90/397.89
  6. Step 6: Final answer
    x = 472.73

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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.