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Finding the Fourth Proportional to 477.92, 658.80 and 303.20

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Solution

The fourth proportional to 477.92, 658.80 and 303.20 is: 417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.92 : 658.80 = 303.20 : x
  2. Step 2: Convert to fraction form
    477.92/658.80 = 303.20/x
  3. Step 3: Cross multiply
    477.92x = 658.80 × 303.20
  4. Step 4: Simplify right side
    477.92x = 199,748.16
  5. Step 5: Solve for x
    x = 199,748.16/477.92
  6. Step 6: Final answer
    x = 417.95

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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.