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Finding the Fourth Proportional to 84.83, 116.98 and 58.55

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Solution

The fourth proportional to 84.83, 116.98 and 58.55 is: 80.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.83 : 116.98 = 58.55 : x
  2. Step 2: Convert to fraction form
    84.83/116.98 = 58.55/x
  3. Step 3: Cross multiply
    84.83x = 116.98 × 58.55
  4. Step 4: Simplify right side
    84.83x = 6,849.18
  5. Step 5: Solve for x
    x = 6,849.18/84.83
  6. Step 6: Final answer
    x = 80.74

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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.