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Finding the Fourth Proportional to 74.02, 110.78 and 49.54

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Solution

The fourth proportional to 74.02, 110.78 and 49.54 is: 74.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.02 : 110.78 = 49.54 : x
  2. Step 2: Convert to fraction form
    74.02/110.78 = 49.54/x
  3. Step 3: Cross multiply
    74.02x = 110.78 × 49.54
  4. Step 4: Simplify right side
    74.02x = 5,488.04
  5. Step 5: Solve for x
    x = 5,488.04/74.02
  6. Step 6: Final answer
    x = 74.14

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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.