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Finding the Fourth Proportional to 438.78, 658.43 and 165.06

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Solution

The fourth proportional to 438.78, 658.43 and 165.06 is: 247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.78 : 658.43 = 165.06 : x
  2. Step 2: Convert to fraction form
    438.78/658.43 = 165.06/x
  3. Step 3: Cross multiply
    438.78x = 658.43 × 165.06
  4. Step 4: Simplify right side
    438.78x = 108,679.63
  5. Step 5: Solve for x
    x = 108,679.63/438.78
  6. Step 6: Final answer
    x = 247.69

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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.