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Finding the Fourth Proportional to 57.64, 85.86 and 54.52

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Solution

The fourth proportional to 57.64, 85.86 and 54.52 is: 81.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.64 : 85.86 = 54.52 : x
  2. Step 2: Convert to fraction form
    57.64/85.86 = 54.52/x
  3. Step 3: Cross multiply
    57.64x = 85.86 × 54.52
  4. Step 4: Simplify right side
    57.64x = 4,681.09
  5. Step 5: Solve for x
    x = 4,681.09/57.64
  6. Step 6: Final answer
    x = 81.21

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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.