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Finding the Fourth Proportional to 281.33, 388.08 and 167.70

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Solution

The fourth proportional to 281.33, 388.08 and 167.70 is: 231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.33 : 388.08 = 167.70 : x
  2. Step 2: Convert to fraction form
    281.33/388.08 = 167.70/x
  3. Step 3: Cross multiply
    281.33x = 388.08 × 167.70
  4. Step 4: Simplify right side
    281.33x = 65,081.02
  5. Step 5: Solve for x
    x = 65,081.02/281.33
  6. Step 6: Final answer
    x = 231.34

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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.