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Finding the Fourth Proportional to 81.57, 112.64 and 58.33

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Solution

The fourth proportional to 81.57, 112.64 and 58.33 is: 80.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.57 : 112.64 = 58.33 : x
  2. Step 2: Convert to fraction form
    81.57/112.64 = 58.33/x
  3. Step 3: Cross multiply
    81.57x = 112.64 × 58.33
  4. Step 4: Simplify right side
    81.57x = 6,569.72
  5. Step 5: Solve for x
    x = 6,569.72/81.57
  6. Step 6: Final answer
    x = 80.54

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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.