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Finding the Fourth Proportional to 110.78, 151.78 and 110.48

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Solution

The fourth proportional to 110.78, 151.78 and 110.48 is: 151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.78 : 151.78 = 110.48 : x
  2. Step 2: Convert to fraction form
    110.78/151.78 = 110.48/x
  3. Step 3: Cross multiply
    110.78x = 151.78 × 110.48
  4. Step 4: Simplify right side
    110.78x = 16,768.65
  5. Step 5: Solve for x
    x = 16,768.65/110.78
  6. Step 6: Final answer
    x = 151.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.