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Finding the Fourth Proportional to 477.32, 658.32 and 319.90

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Solution

The fourth proportional to 477.32, 658.32 and 319.90 is: 441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.32 : 658.32 = 319.90 : x
  2. Step 2: Convert to fraction form
    477.32/658.32 = 319.90/x
  3. Step 3: Cross multiply
    477.32x = 658.32 × 319.90
  4. Step 4: Simplify right side
    477.32x = 210,595.52
  5. Step 5: Solve for x
    x = 210,595.52/477.32
  6. Step 6: Final answer
    x = 441.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.