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Finding the Fourth Proportional to 397.18, 592.68 and 356.32

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Solution

The fourth proportional to 397.18, 592.68 and 356.32 is: 531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.18 : 592.68 = 356.32 : x
  2. Step 2: Convert to fraction form
    397.18/592.68 = 356.32/x
  3. Step 3: Cross multiply
    397.18x = 592.68 × 356.32
  4. Step 4: Simplify right side
    397.18x = 211,183.74
  5. Step 5: Solve for x
    x = 211,183.74/397.18
  6. Step 6: Final answer
    x = 531.71

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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.