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Finding the Fourth Proportional to 281.13, 387.96 and 156.80

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Solution

The fourth proportional to 281.13, 387.96 and 156.80 is: 216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.13 : 387.96 = 156.80 : x
  2. Step 2: Convert to fraction form
    281.13/387.96 = 156.80/x
  3. Step 3: Cross multiply
    281.13x = 387.96 × 156.80
  4. Step 4: Simplify right side
    281.13x = 60,830.19
  5. Step 5: Solve for x
    x = 60,830.19/281.13
  6. Step 6: Final answer
    x = 216.38

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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.