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Finding the Fourth Proportional to 281.38, 388.02 and 188.13

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Solution

The fourth proportional to 281.38, 388.02 and 188.13 is: 259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.38 : 388.02 = 188.13 : x
  2. Step 2: Convert to fraction form
    281.38/388.02 = 188.13/x
  3. Step 3: Cross multiply
    281.38x = 388.02 × 188.13
  4. Step 4: Simplify right side
    281.38x = 72,998.20
  5. Step 5: Solve for x
    x = 72,998.20/281.38
  6. Step 6: Final answer
    x = 259.43

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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.