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Finding the Fourth Proportional to 83.34, 114.98 and 57.13

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Solution

The fourth proportional to 83.34, 114.98 and 57.13 is: 78.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.34 : 114.98 = 57.13 : x
  2. Step 2: Convert to fraction form
    83.34/114.98 = 57.13/x
  3. Step 3: Cross multiply
    83.34x = 114.98 × 57.13
  4. Step 4: Simplify right side
    83.34x = 6,568.23
  5. Step 5: Solve for x
    x = 6,568.23/83.34
  6. Step 6: Final answer
    x = 78.81

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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.