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Finding the Fourth Proportional to 57.46, 79.16 and 54.72

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Solution

The fourth proportional to 57.46, 79.16 and 54.72 is: 75.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.46 : 79.16 = 54.72 : x
  2. Step 2: Convert to fraction form
    57.46/79.16 = 54.72/x
  3. Step 3: Cross multiply
    57.46x = 79.16 × 54.72
  4. Step 4: Simplify right side
    57.46x = 4,331.64
  5. Step 5: Solve for x
    x = 4,331.64/57.46
  6. Step 6: Final answer
    x = 75.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.