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Finding the Fourth Proportional to 338.40, 463.56 and 337.44

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Solution

The fourth proportional to 338.40, 463.56 and 337.44 is: 462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 463.56 = 337.44 : x
  2. Step 2: Convert to fraction form
    338.40/463.56 = 337.44/x
  3. Step 3: Cross multiply
    338.40x = 463.56 × 337.44
  4. Step 4: Simplify right side
    338.40x = 156,423.69
  5. Step 5: Solve for x
    x = 156,423.69/338.40
  6. Step 6: Final answer
    x = 462.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.