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Finding the Fourth Proportional to 57.88, 87.19 and 48.77

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Solution

The fourth proportional to 57.88, 87.19 and 48.77 is: 73.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.88 : 87.19 = 48.77 : x
  2. Step 2: Convert to fraction form
    57.88/87.19 = 48.77/x
  3. Step 3: Cross multiply
    57.88x = 87.19 × 48.77
  4. Step 4: Simplify right side
    57.88x = 4,252.30
  5. Step 5: Solve for x
    x = 4,252.30/57.88
  6. Step 6: Final answer
    x = 73.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.