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Finding the Fourth Proportional to 281.61, 424.13 and 247.82

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Solution

The fourth proportional to 281.61, 424.13 and 247.82 is: 373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.61 : 424.13 = 247.82 : x
  2. Step 2: Convert to fraction form
    281.61/424.13 = 247.82/x
  3. Step 3: Cross multiply
    281.61x = 424.13 × 247.82
  4. Step 4: Simplify right side
    281.61x = 105,104.54
  5. Step 5: Solve for x
    x = 105,104.54/281.61
  6. Step 6: Final answer
    x = 373.23

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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.