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Finding the Fourth Proportional to 438.63, 658.88 and 276.42

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Solution

The fourth proportional to 438.63, 658.88 and 276.42 is: 415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.63 : 658.88 = 276.42 : x
  2. Step 2: Convert to fraction form
    438.63/658.88 = 276.42/x
  3. Step 3: Cross multiply
    438.63x = 658.88 × 276.42
  4. Step 4: Simplify right side
    438.63x = 182,127.61
  5. Step 5: Solve for x
    x = 182,127.61/438.63
  6. Step 6: Final answer
    x = 415.22

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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.