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Finding the Fourth Proportional to 84.31, 116.33 and 56.67

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Solution

The fourth proportional to 84.31, 116.33 and 56.67 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.31 : 116.33 = 56.67 : x
  2. Step 2: Convert to fraction form
    84.31/116.33 = 56.67/x
  3. Step 3: Cross multiply
    84.31x = 116.33 × 56.67
  4. Step 4: Simplify right side
    84.31x = 6,592.42
  5. Step 5: Solve for x
    x = 6,592.42/84.31
  6. Step 6: Final answer
    x = 78.20

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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.