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Finding the Fourth Proportional to 170.68, 254.74 and 147.44

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Solution

The fourth proportional to 170.68, 254.74 and 147.44 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.68 : 254.74 = 147.44 : x
  2. Step 2: Convert to fraction form
    170.68/254.74 = 147.44/x
  3. Step 3: Cross multiply
    170.68x = 254.74 × 147.44
  4. Step 4: Simplify right side
    170.68x = 37,558.87
  5. Step 5: Solve for x
    x = 37,558.87/170.68
  6. Step 6: Final answer
    x = 220.05

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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.