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Finding the Fourth Proportional to 74.08, 110.96 and 51.18

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Solution

The fourth proportional to 74.08, 110.96 and 51.18 is: 76.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.08 : 110.96 = 51.18 : x
  2. Step 2: Convert to fraction form
    74.08/110.96 = 51.18/x
  3. Step 3: Cross multiply
    74.08x = 110.96 × 51.18
  4. Step 4: Simplify right side
    74.08x = 5,678.93
  5. Step 5: Solve for x
    x = 5,678.93/74.08
  6. Step 6: Final answer
    x = 76.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.