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Finding the Fourth Proportional to 169.14, 251.93 and 160.47

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Solution

The fourth proportional to 169.14, 251.93 and 160.47 is: 239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.14 : 251.93 = 160.47 : x
  2. Step 2: Convert to fraction form
    169.14/251.93 = 160.47/x
  3. Step 3: Cross multiply
    169.14x = 251.93 × 160.47
  4. Step 4: Simplify right side
    169.14x = 40,427.21
  5. Step 5: Solve for x
    x = 40,427.21/169.14
  6. Step 6: Final answer
    x = 239.02

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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.