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Finding the Fourth Proportional to 57.12, 78.66 and 56.96

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Solution

The fourth proportional to 57.12, 78.66 and 56.96 is: 78.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.12 : 78.66 = 56.96 : x
  2. Step 2: Convert to fraction form
    57.12/78.66 = 56.96/x
  3. Step 3: Cross multiply
    57.12x = 78.66 × 56.96
  4. Step 4: Simplify right side
    57.12x = 4,480.47
  5. Step 5: Solve for x
    x = 4,480.47/57.12
  6. Step 6: Final answer
    x = 78.44

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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.