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Finding the Fourth Proportional to 477.24, 658.64 and 290.78

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Solution

The fourth proportional to 477.24, 658.64 and 290.78 is: 401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.24 : 658.64 = 290.78 : x
  2. Step 2: Convert to fraction form
    477.24/658.64 = 290.78/x
  3. Step 3: Cross multiply
    477.24x = 658.64 × 290.78
  4. Step 4: Simplify right side
    477.24x = 191,519.34
  5. Step 5: Solve for x
    x = 191,519.34/477.24
  6. Step 6: Final answer
    x = 401.31

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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.