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Finding the Fourth Proportional to 85.70, 118.22 and 58.11

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Solution

The fourth proportional to 85.70, 118.22 and 58.11 is: 80.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.70 : 118.22 = 58.11 : x
  2. Step 2: Convert to fraction form
    85.70/118.22 = 58.11/x
  3. Step 3: Cross multiply
    85.70x = 118.22 × 58.11
  4. Step 4: Simplify right side
    85.70x = 6,869.91
  5. Step 5: Solve for x
    x = 6,869.91/85.70
  6. Step 6: Final answer
    x = 80.16

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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.