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Finding the Fourth Proportional to 460.38, 690.96 and 338.88

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Solution

The fourth proportional to 460.38, 690.96 and 338.88 is: 508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.38 : 690.96 = 338.88 : x
  2. Step 2: Convert to fraction form
    460.38/690.96 = 338.88/x
  3. Step 3: Cross multiply
    460.38x = 690.96 × 338.88
  4. Step 4: Simplify right side
    460.38x = 234,152.52
  5. Step 5: Solve for x
    x = 234,152.52/460.38
  6. Step 6: Final answer
    x = 508.61

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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.