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Finding the Fourth Proportional to 57.69, 86.45 and 42.48

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Solution

The fourth proportional to 57.69, 86.45 and 42.48 is: 63.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.69 : 86.45 = 42.48 : x
  2. Step 2: Convert to fraction form
    57.69/86.45 = 42.48/x
  3. Step 3: Cross multiply
    57.69x = 86.45 × 42.48
  4. Step 4: Simplify right side
    57.69x = 3,672.18
  5. Step 5: Solve for x
    x = 3,672.18/57.69
  6. Step 6: Final answer
    x = 63.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.