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Finding the Fourth Proportional to 72.48, 108.22 and 57.87

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Solution

The fourth proportional to 72.48, 108.22 and 57.87 is: 86.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.48 : 108.22 = 57.87 : x
  2. Step 2: Convert to fraction form
    72.48/108.22 = 57.87/x
  3. Step 3: Cross multiply
    72.48x = 108.22 × 57.87
  4. Step 4: Simplify right side
    72.48x = 6,262.69
  5. Step 5: Solve for x
    x = 6,262.69/72.48
  6. Step 6: Final answer
    x = 86.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.