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Finding the Fourth Proportional to 74.29, 111.44 and 73.45

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Solution

The fourth proportional to 74.29, 111.44 and 73.45 is: 110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.29 : 111.44 = 73.45 : x
  2. Step 2: Convert to fraction form
    74.29/111.44 = 73.45/x
  3. Step 3: Cross multiply
    74.29x = 111.44 × 73.45
  4. Step 4: Simplify right side
    74.29x = 8,185.27
  5. Step 5: Solve for x
    x = 8,185.27/74.29
  6. Step 6: Final answer
    x = 110.18

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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.