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Finding the Fourth Proportional to 57.56, 79.36 and 42.78

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Solution

The fourth proportional to 57.56, 79.36 and 42.78 is: 58.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.56 : 79.36 = 42.78 : x
  2. Step 2: Convert to fraction form
    57.56/79.36 = 42.78/x
  3. Step 3: Cross multiply
    57.56x = 79.36 × 42.78
  4. Step 4: Simplify right side
    57.56x = 3,395.02
  5. Step 5: Solve for x
    x = 3,395.02/57.56
  6. Step 6: Final answer
    x = 58.98

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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.