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Finding the Fourth Proportional to 310.11, 462.56 and 282.43

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Solution

The fourth proportional to 310.11, 462.56 and 282.43 is: 421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.11 : 462.56 = 282.43 : x
  2. Step 2: Convert to fraction form
    310.11/462.56 = 282.43/x
  3. Step 3: Cross multiply
    310.11x = 462.56 × 282.43
  4. Step 4: Simplify right side
    310.11x = 130,640.82
  5. Step 5: Solve for x
    x = 130,640.82/310.11
  6. Step 6: Final answer
    x = 421.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.