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Finding the Fourth Proportional to 175.06, 261.55 and 169.00

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Solution

The fourth proportional to 175.06, 261.55 and 169.00 is: 252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.06 : 261.55 = 169.00 : x
  2. Step 2: Convert to fraction form
    175.06/261.55 = 169.00/x
  3. Step 3: Cross multiply
    175.06x = 261.55 × 169.00
  4. Step 4: Simplify right side
    175.06x = 44,200.64
  5. Step 5: Solve for x
    x = 44,200.64/175.06
  6. Step 6: Final answer
    x = 252.50

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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.