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Finding the Fourth Proportional to 74.89, 111.48 and 74.48

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Solution

The fourth proportional to 74.89, 111.48 and 74.48 is: 110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.89 : 111.48 = 74.48 : x
  2. Step 2: Convert to fraction form
    74.89/111.48 = 74.48/x
  3. Step 3: Cross multiply
    74.89x = 111.48 × 74.48
  4. Step 4: Simplify right side
    74.89x = 8,303.03
  5. Step 5: Solve for x
    x = 8,303.03/74.89
  6. Step 6: Final answer
    x = 110.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.