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Finding the Fourth Proportional to 282.12, 424.76 and 249.81

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Solution

The fourth proportional to 282.12, 424.76 and 249.81 is: 376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.12 : 424.76 = 249.81 : x
  2. Step 2: Convert to fraction form
    282.12/424.76 = 249.81/x
  3. Step 3: Cross multiply
    282.12x = 424.76 × 249.81
  4. Step 4: Simplify right side
    282.12x = 106,108.05
  5. Step 5: Solve for x
    x = 106,108.05/282.12
  6. Step 6: Final answer
    x = 376.11

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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.