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Finding the Fourth Proportional to 74.44, 112.31 and 74.24

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Solution

The fourth proportional to 74.44, 112.31 and 74.24 is: 112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.44 : 112.31 = 74.24 : x
  2. Step 2: Convert to fraction form
    74.44/112.31 = 74.24/x
  3. Step 3: Cross multiply
    74.44x = 112.31 × 74.24
  4. Step 4: Simplify right side
    74.44x = 8,337.89
  5. Step 5: Solve for x
    x = 8,337.89/74.44
  6. Step 6: Final answer
    x = 112.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.