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Finding the Fourth Proportional to 57.09, 85.44 and 43.49

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Solution

The fourth proportional to 57.09, 85.44 and 43.49 is: 65.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.09 : 85.44 = 43.49 : x
  2. Step 2: Convert to fraction form
    57.09/85.44 = 43.49/x
  3. Step 3: Cross multiply
    57.09x = 85.44 × 43.49
  4. Step 4: Simplify right side
    57.09x = 3,715.36
  5. Step 5: Solve for x
    x = 3,715.36/57.09
  6. Step 6: Final answer
    x = 65.08

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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.