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Finding the Fourth Proportional to 110.95, 152.40 and 110.41

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Solution

The fourth proportional to 110.95, 152.40 and 110.41 is: 151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.95 : 152.40 = 110.41 : x
  2. Step 2: Convert to fraction form
    110.95/152.40 = 110.41/x
  3. Step 3: Cross multiply
    110.95x = 152.40 × 110.41
  4. Step 4: Simplify right side
    110.95x = 16,826.48
  5. Step 5: Solve for x
    x = 16,826.48/110.95
  6. Step 6: Final answer
    x = 151.66

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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.