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Finding the Fourth Proportional to 438.91, 658.48 and 256.46

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Solution

The fourth proportional to 438.91, 658.48 and 256.46 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.91 : 658.48 = 256.46 : x
  2. Step 2: Convert to fraction form
    438.91/658.48 = 256.46/x
  3. Step 3: Cross multiply
    438.91x = 658.48 × 256.46
  4. Step 4: Simplify right side
    438.91x = 168,873.78
  5. Step 5: Solve for x
    x = 168,873.78/438.91
  6. Step 6: Final answer
    x = 384.76

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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.