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Finding the Fourth Proportional to 84.35, 116.33 and 74.52

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Solution

The fourth proportional to 84.35, 116.33 and 74.52 is: 102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.35 : 116.33 = 74.52 : x
  2. Step 2: Convert to fraction form
    84.35/116.33 = 74.52/x
  3. Step 3: Cross multiply
    84.35x = 116.33 × 74.52
  4. Step 4: Simplify right side
    84.35x = 8,667.96
  5. Step 5: Solve for x
    x = 8,667.96/84.35
  6. Step 6: Final answer
    x = 102.77

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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.