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Finding the Fourth Proportional to 73.74, 110.52 and 30.96

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Solution

The fourth proportional to 73.74, 110.52 and 30.96 is: 46.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.74 : 110.52 = 30.96 : x
  2. Step 2: Convert to fraction form
    73.74/110.52 = 30.96/x
  3. Step 3: Cross multiply
    73.74x = 110.52 × 30.96
  4. Step 4: Simplify right side
    73.74x = 3,421.70
  5. Step 5: Solve for x
    x = 3,421.70/73.74
  6. Step 6: Final answer
    x = 46.40

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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.