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Finding the Fourth Proportional to 476.98, 658.02 and 290.44

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Solution

The fourth proportional to 476.98, 658.02 and 290.44 is: 400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.98 : 658.02 = 290.44 : x
  2. Step 2: Convert to fraction form
    476.98/658.02 = 290.44/x
  3. Step 3: Cross multiply
    476.98x = 658.02 × 290.44
  4. Step 4: Simplify right side
    476.98x = 191,115.33
  5. Step 5: Solve for x
    x = 191,115.33/476.98
  6. Step 6: Final answer
    x = 400.68

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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.