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Finding the Fourth Proportional to 169.24, 251.69 and 160.60

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Solution

The fourth proportional to 169.24, 251.69 and 160.60 is: 238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.24 : 251.69 = 160.60 : x
  2. Step 2: Convert to fraction form
    169.24/251.69 = 160.60/x
  3. Step 3: Cross multiply
    169.24x = 251.69 × 160.60
  4. Step 4: Simplify right side
    169.24x = 40,421.41
  5. Step 5: Solve for x
    x = 40,421.41/169.24
  6. Step 6: Final answer
    x = 238.84

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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.