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Finding the Fourth Proportional to 170.55, 254.79 and 169.74

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Solution

The fourth proportional to 170.55, 254.79 and 169.74 is: 253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.55 : 254.79 = 169.74 : x
  2. Step 2: Convert to fraction form
    170.55/254.79 = 169.74/x
  3. Step 3: Cross multiply
    170.55x = 254.79 × 169.74
  4. Step 4: Simplify right side
    170.55x = 43,248.05
  5. Step 5: Solve for x
    x = 43,248.05/170.55
  6. Step 6: Final answer
    x = 253.58

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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.