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Finding the Fourth Proportional to 110.78, 152.96 and 74.00

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Solution

The fourth proportional to 110.78, 152.96 and 74.00 is: 102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.78 : 152.96 = 74.00 : x
  2. Step 2: Convert to fraction form
    110.78/152.96 = 74.00/x
  3. Step 3: Cross multiply
    110.78x = 152.96 × 74.00
  4. Step 4: Simplify right side
    110.78x = 11,319.05
  5. Step 5: Solve for x
    x = 11,319.05/110.78
  6. Step 6: Final answer
    x = 102.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.