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Finding the Fourth Proportional to 477.14, 658.25 and 302.38

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Solution

The fourth proportional to 477.14, 658.25 and 302.38 is: 417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 658.25 = 302.38 : x
  2. Step 2: Convert to fraction form
    477.14/658.25 = 302.38/x
  3. Step 3: Cross multiply
    477.14x = 658.25 × 302.38
  4. Step 4: Simplify right side
    477.14x = 199,036.83
  5. Step 5: Solve for x
    x = 199,036.83/477.14
  6. Step 6: Final answer
    x = 417.15

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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.