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Finding the Fourth Proportional to 281.70, 424.80 and 249.30

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Solution

The fourth proportional to 281.70, 424.80 and 249.30 is: 375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.70 : 424.80 = 249.30 : x
  2. Step 2: Convert to fraction form
    281.70/424.80 = 249.30/x
  3. Step 3: Cross multiply
    281.70x = 424.80 × 249.30
  4. Step 4: Simplify right side
    281.70x = 105,902.64
  5. Step 5: Solve for x
    x = 105,902.64/281.70
  6. Step 6: Final answer
    x = 375.94

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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.