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Finding the Fourth Proportional to 170.42, 253.70 and 169.40

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Solution

The fourth proportional to 170.42, 253.70 and 169.40 is: 252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 253.70 = 169.40 : x
  2. Step 2: Convert to fraction form
    170.42/253.70 = 169.40/x
  3. Step 3: Cross multiply
    170.42x = 253.70 × 169.40
  4. Step 4: Simplify right side
    170.42x = 42,976.78
  5. Step 5: Solve for x
    x = 42,976.78/170.42
  6. Step 6: Final answer
    x = 252.18

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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.