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Finding the Fourth Proportional to 170.53, 234.85 and 159.55

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Solution

The fourth proportional to 170.53, 234.85 and 159.55 is: 219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.53 : 234.85 = 159.55 : x
  2. Step 2: Convert to fraction form
    170.53/234.85 = 159.55/x
  3. Step 3: Cross multiply
    170.53x = 234.85 × 159.55
  4. Step 4: Simplify right side
    170.53x = 37,468.35
  5. Step 5: Solve for x
    x = 37,468.35/170.53
  6. Step 6: Final answer
    x = 219.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.