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Finding the Fourth Proportional to 57.12, 85.44 and 39

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Solution

The fourth proportional to 57.12, 85.44 and 39 is: 58.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.12 : 85.44 = 39 : x
  2. Step 2: Convert to fraction form
    57.12/85.44 = 39/x
  3. Step 3: Cross multiply
    57.12x = 85.44 × 39
  4. Step 4: Simplify right side
    57.12x = 3,332.16
  5. Step 5: Solve for x
    x = 3,332.16/57.12
  6. Step 6: Final answer
    x = 58.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.