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Finding the Fourth Proportional to 438.98, 658.54 and 358.52

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Solution

The fourth proportional to 438.98, 658.54 and 358.52 is: 537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.98 : 658.54 = 358.52 : x
  2. Step 2: Convert to fraction form
    438.98/658.54 = 358.52/x
  3. Step 3: Cross multiply
    438.98x = 658.54 × 358.52
  4. Step 4: Simplify right side
    438.98x = 236,099.76
  5. Step 5: Solve for x
    x = 236,099.76/438.98
  6. Step 6: Final answer
    x = 537.84

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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.