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Finding the Fourth Proportional to 438.98, 658.40 and 165.20

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Solution

The fourth proportional to 438.98, 658.40 and 165.20 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.98 : 658.40 = 165.20 : x
  2. Step 2: Convert to fraction form
    438.98/658.40 = 165.20/x
  3. Step 3: Cross multiply
    438.98x = 658.40 × 165.20
  4. Step 4: Simplify right side
    438.98x = 108,763.56
  5. Step 5: Solve for x
    x = 108,763.56/438.98
  6. Step 6: Final answer
    x = 247.77

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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.