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Finding the Fourth Proportional to 281.72, 388.82 and 165.29

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Solution

The fourth proportional to 281.72, 388.82 and 165.29 is: 228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.72 : 388.82 = 165.29 : x
  2. Step 2: Convert to fraction form
    281.72/388.82 = 165.29/x
  3. Step 3: Cross multiply
    281.72x = 388.82 × 165.29
  4. Step 4: Simplify right side
    281.72x = 64,266.53
  5. Step 5: Solve for x
    x = 64,266.53/281.72
  6. Step 6: Final answer
    x = 228.12

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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.