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Finding the Fourth Proportional to 281.61, 388.61 and 157.27

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Solution

The fourth proportional to 281.61, 388.61 and 157.27 is: 217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.61 : 388.61 = 157.27 : x
  2. Step 2: Convert to fraction form
    281.61/388.61 = 157.27/x
  3. Step 3: Cross multiply
    281.61x = 388.61 × 157.27
  4. Step 4: Simplify right side
    281.61x = 61,116.69
  5. Step 5: Solve for x
    x = 61,116.69/281.61
  6. Step 6: Final answer
    x = 217.03

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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.