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Finding the Fourth Proportional to 281.62, 388.51 and 165.14

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Solution

The fourth proportional to 281.62, 388.51 and 165.14 is: 227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.62 : 388.51 = 165.14 : x
  2. Step 2: Convert to fraction form
    281.62/388.51 = 165.14/x
  3. Step 3: Cross multiply
    281.62x = 388.51 × 165.14
  4. Step 4: Simplify right side
    281.62x = 64,158.54
  5. Step 5: Solve for x
    x = 64,158.54/281.62
  6. Step 6: Final answer
    x = 227.82

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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.