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Finding the Fourth Proportional to 169.16, 252.07 and 158.36

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Solution

The fourth proportional to 169.16, 252.07 and 158.36 is: 235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 252.07 = 158.36 : x
  2. Step 2: Convert to fraction form
    169.16/252.07 = 158.36/x
  3. Step 3: Cross multiply
    169.16x = 252.07 × 158.36
  4. Step 4: Simplify right side
    169.16x = 39,917.81
  5. Step 5: Solve for x
    x = 39,917.81/169.16
  6. Step 6: Final answer
    x = 235.98

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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.