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Finding the Fourth Proportional to 397.18, 593.25 and 315.77

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Solution

The fourth proportional to 397.18, 593.25 and 315.77 is: 471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.18 : 593.25 = 315.77 : x
  2. Step 2: Convert to fraction form
    397.18/593.25 = 315.77/x
  3. Step 3: Cross multiply
    397.18x = 593.25 × 315.77
  4. Step 4: Simplify right side
    397.18x = 187,330.55
  5. Step 5: Solve for x
    x = 187,330.55/397.18
  6. Step 6: Final answer
    x = 471.66

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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.