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Finding the Fourth Proportional to 460.95, 691.39 and 278.38

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Solution

The fourth proportional to 460.95, 691.39 and 278.38 is: 417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.95 : 691.39 = 278.38 : x
  2. Step 2: Convert to fraction form
    460.95/691.39 = 278.38/x
  3. Step 3: Cross multiply
    460.95x = 691.39 × 278.38
  4. Step 4: Simplify right side
    460.95x = 192,469.15
  5. Step 5: Solve for x
    x = 192,469.15/460.95
  6. Step 6: Final answer
    x = 417.55

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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.