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Finding the Fourth Proportional to 477.42, 658.90 and 303.27

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Solution

The fourth proportional to 477.42, 658.90 and 303.27 is: 418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.42 : 658.90 = 303.27 : x
  2. Step 2: Convert to fraction form
    477.42/658.90 = 303.27/x
  3. Step 3: Cross multiply
    477.42x = 658.90 × 303.27
  4. Step 4: Simplify right side
    477.42x = 199,824.60
  5. Step 5: Solve for x
    x = 199,824.60/477.42
  6. Step 6: Final answer
    x = 418.55

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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.