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Finding the Fourth Proportional to 281.29, 387.92 and 176.35

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Solution

The fourth proportional to 281.29, 387.92 and 176.35 is: 243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.29 : 387.92 = 176.35 : x
  2. Step 2: Convert to fraction form
    281.29/387.92 = 176.35/x
  3. Step 3: Cross multiply
    281.29x = 387.92 × 176.35
  4. Step 4: Simplify right side
    281.29x = 68,406.87
  5. Step 5: Solve for x
    x = 68,406.87/281.29
  6. Step 6: Final answer
    x = 243.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.