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Finding the Fourth Proportional to 438.66, 658.22 and 301.82

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Solution

The fourth proportional to 438.66, 658.22 and 301.82 is: 452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.66 : 658.22 = 301.82 : x
  2. Step 2: Convert to fraction form
    438.66/658.22 = 301.82/x
  3. Step 3: Cross multiply
    438.66x = 658.22 × 301.82
  4. Step 4: Simplify right side
    438.66x = 198,663.96
  5. Step 5: Solve for x
    x = 198,663.96/438.66
  6. Step 6: Final answer
    x = 452.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.