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Finding the Fourth Proportional to 175.95, 240.87 and 169.80

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Solution

The fourth proportional to 175.95, 240.87 and 169.80 is: 232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.95 : 240.87 = 169.80 : x
  2. Step 2: Convert to fraction form
    175.95/240.87 = 169.80/x
  3. Step 3: Cross multiply
    175.95x = 240.87 × 169.80
  4. Step 4: Simplify right side
    175.95x = 40,899.73
  5. Step 5: Solve for x
    x = 40,899.73/175.95
  6. Step 6: Final answer
    x = 232.45

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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.