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Finding the Fourth Proportional to 460.57, 689.92 and 213.42

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Solution

The fourth proportional to 460.57, 689.92 and 213.42 is: 319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.57 : 689.92 = 213.42 : x
  2. Step 2: Convert to fraction form
    460.57/689.92 = 213.42/x
  3. Step 3: Cross multiply
    460.57x = 689.92 × 213.42
  4. Step 4: Simplify right side
    460.57x = 147,241.66
  5. Step 5: Solve for x
    x = 147,241.66/460.57
  6. Step 6: Final answer
    x = 319.70

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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.