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Finding the Fourth Proportional to 460.42, 635.20 and 294.66

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Solution

The fourth proportional to 460.42, 635.20 and 294.66 is: 406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 635.20 = 294.66 : x
  2. Step 2: Convert to fraction form
    460.42/635.20 = 294.66/x
  3. Step 3: Cross multiply
    460.42x = 635.20 × 294.66
  4. Step 4: Simplify right side
    460.42x = 187,167.30
  5. Step 5: Solve for x
    x = 187,167.30/460.42
  6. Step 6: Final answer
    x = 406.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.