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Finding the Fourth Proportional to 169.98, 253.34 and 169.71

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Solution

The fourth proportional to 169.98, 253.34 and 169.71 is: 252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.98 : 253.34 = 169.71 : x
  2. Step 2: Convert to fraction form
    169.98/253.34 = 169.71/x
  3. Step 3: Cross multiply
    169.98x = 253.34 × 169.71
  4. Step 4: Simplify right side
    169.98x = 42,993.48
  5. Step 5: Solve for x
    x = 42,993.48/169.98
  6. Step 6: Final answer
    x = 252.93

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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.