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Finding the Fourth Proportional to 74.68, 103.08 and 57.22

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Solution

The fourth proportional to 74.68, 103.08 and 57.22 is: 78.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.68 : 103.08 = 57.22 : x
  2. Step 2: Convert to fraction form
    74.68/103.08 = 57.22/x
  3. Step 3: Cross multiply
    74.68x = 103.08 × 57.22
  4. Step 4: Simplify right side
    74.68x = 5,898.24
  5. Step 5: Solve for x
    x = 5,898.24/74.68
  6. Step 6: Final answer
    x = 78.98

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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.