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Finding the Fourth Proportional to 338.40, 463.68 and 335.52

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Solution

The fourth proportional to 338.40, 463.68 and 335.52 is: 459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 463.68 = 335.52 : x
  2. Step 2: Convert to fraction form
    338.40/463.68 = 335.52/x
  3. Step 3: Cross multiply
    338.40x = 463.68 × 335.52
  4. Step 4: Simplify right side
    338.40x = 155,573.91
  5. Step 5: Solve for x
    x = 155,573.91/338.40
  6. Step 6: Final answer
    x = 459.73

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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.