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Finding the Fourth Proportional to 281.38, 388.25 and 157.04

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Solution

The fourth proportional to 281.38, 388.25 and 157.04 is: 216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.38 : 388.25 = 157.04 : x
  2. Step 2: Convert to fraction form
    281.38/388.25 = 157.04/x
  3. Step 3: Cross multiply
    281.38x = 388.25 × 157.04
  4. Step 4: Simplify right side
    281.38x = 60,970.78
  5. Step 5: Solve for x
    x = 60,970.78/281.38
  6. Step 6: Final answer
    x = 216.68

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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.