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Finding the Fourth Proportional to 57.84, 80.20 and 56.15

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Solution

The fourth proportional to 57.84, 80.20 and 56.15 is: 77.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.84 : 80.20 = 56.15 : x
  2. Step 2: Convert to fraction form
    57.84/80.20 = 56.15/x
  3. Step 3: Cross multiply
    57.84x = 80.20 × 56.15
  4. Step 4: Simplify right side
    57.84x = 4,503.23
  5. Step 5: Solve for x
    x = 4,503.23/57.84
  6. Step 6: Final answer
    x = 77.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.