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Finding the Fourth Proportional to 74.11, 110.46 and 74.00

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Solution

The fourth proportional to 74.11, 110.46 and 74.00 is: 110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.11 : 110.46 = 74.00 : x
  2. Step 2: Convert to fraction form
    74.11/110.46 = 74.00/x
  3. Step 3: Cross multiply
    74.11x = 110.46 × 74.00
  4. Step 4: Simplify right side
    74.11x = 8,173.76
  5. Step 5: Solve for x
    x = 8,173.76/74.11
  6. Step 6: Final answer
    x = 110.29

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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.