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Finding the Fourth Proportional to 282.48, 425.22 and 240.72

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Solution

The fourth proportional to 282.48, 425.22 and 240.72 is: 362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.48 : 425.22 = 240.72 : x
  2. Step 2: Convert to fraction form
    282.48/425.22 = 240.72/x
  3. Step 3: Cross multiply
    282.48x = 425.22 × 240.72
  4. Step 4: Simplify right side
    282.48x = 102,358.96
  5. Step 5: Solve for x
    x = 102,358.96/282.48
  6. Step 6: Final answer
    x = 362.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.