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Finding the Fourth Proportional to 74.74, 102.91 and 57.27

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Solution

The fourth proportional to 74.74, 102.91 and 57.27 is: 78.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.74 : 102.91 = 57.27 : x
  2. Step 2: Convert to fraction form
    74.74/102.91 = 57.27/x
  3. Step 3: Cross multiply
    74.74x = 102.91 × 57.27
  4. Step 4: Simplify right side
    74.74x = 5,893.66
  5. Step 5: Solve for x
    x = 5,893.66/74.74
  6. Step 6: Final answer
    x = 78.86

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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.