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Finding the Fourth Proportional to 74.96, 113.12 and 74.36

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Solution

The fourth proportional to 74.96, 113.12 and 74.36 is: 112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.96 : 113.12 = 74.36 : x
  2. Step 2: Convert to fraction form
    74.96/113.12 = 74.36/x
  3. Step 3: Cross multiply
    74.96x = 113.12 × 74.36
  4. Step 4: Simplify right side
    74.96x = 8,411.60
  5. Step 5: Solve for x
    x = 8,411.60/74.96
  6. Step 6: Final answer
    x = 112.21

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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.