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Finding the Fourth Proportional to 57, 78.66 and 49.66

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Solution

The fourth proportional to 57, 78.66 and 49.66 is: 68.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 78.66 = 49.66 : x
  2. Step 2: Convert to fraction form
    57/78.66 = 49.66/x
  3. Step 3: Cross multiply
    57x = 78.66 × 49.66
  4. Step 4: Simplify right side
    57x = 3,906.26
  5. Step 5: Solve for x
    x = 3,906.26/57
  6. Step 6: Final answer
    x = 68.53

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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.