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Finding the Fourth Proportional to 460.74, 691.26 and 186.90

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Solution

The fourth proportional to 460.74, 691.26 and 186.90 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.74 : 691.26 = 186.90 : x
  2. Step 2: Convert to fraction form
    460.74/691.26 = 186.90/x
  3. Step 3: Cross multiply
    460.74x = 691.26 × 186.90
  4. Step 4: Simplify right side
    460.74x = 129,196.49
  5. Step 5: Solve for x
    x = 129,196.49/460.74
  6. Step 6: Final answer
    x = 280.41

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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.