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Finding the Fourth Proportional to 57.76, 86.16 and 56.19

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Solution

The fourth proportional to 57.76, 86.16 and 56.19 is: 83.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.76 : 86.16 = 56.19 : x
  2. Step 2: Convert to fraction form
    57.76/86.16 = 56.19/x
  3. Step 3: Cross multiply
    57.76x = 86.16 × 56.19
  4. Step 4: Simplify right side
    57.76x = 4,841.86
  5. Step 5: Solve for x
    x = 4,841.86/57.76
  6. Step 6: Final answer
    x = 83.83

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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.