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Finding the Fourth Proportional to 338.47, 461.16 and 330.95

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Solution

The fourth proportional to 338.47, 461.16 and 330.95 is: 450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.47 : 461.16 = 330.95 : x
  2. Step 2: Convert to fraction form
    338.47/461.16 = 330.95/x
  3. Step 3: Cross multiply
    338.47x = 461.16 × 330.95
  4. Step 4: Simplify right side
    338.47x = 152,620.90
  5. Step 5: Solve for x
    x = 152,620.90/338.47
  6. Step 6: Final answer
    x = 450.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.