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Finding the Fourth Proportional to 84.16, 116.24 and 62.29

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Solution

The fourth proportional to 84.16, 116.24 and 62.29 is: 86.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 116.24 = 62.29 : x
  2. Step 2: Convert to fraction form
    84.16/116.24 = 62.29/x
  3. Step 3: Cross multiply
    84.16x = 116.24 × 62.29
  4. Step 4: Simplify right side
    84.16x = 7,240.75
  5. Step 5: Solve for x
    x = 7,240.75/84.16
  6. Step 6: Final answer
    x = 86.03

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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.