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Finding the Fourth Proportional to 460.61, 691.49 and 278.36

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Solution

The fourth proportional to 460.61, 691.49 and 278.36 is: 417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.61 : 691.49 = 278.36 : x
  2. Step 2: Convert to fraction form
    460.61/691.49 = 278.36/x
  3. Step 3: Cross multiply
    460.61x = 691.49 × 278.36
  4. Step 4: Simplify right side
    460.61x = 192,480.39
  5. Step 5: Solve for x
    x = 192,480.39/460.61
  6. Step 6: Final answer
    x = 417.89

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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.