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Finding the Fourth Proportional to 169.36, 253.47 and 162.97

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Solution

The fourth proportional to 169.36, 253.47 and 162.97 is: 243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.36 : 253.47 = 162.97 : x
  2. Step 2: Convert to fraction form
    169.36/253.47 = 162.97/x
  3. Step 3: Cross multiply
    169.36x = 253.47 × 162.97
  4. Step 4: Simplify right side
    169.36x = 41,308.01
  5. Step 5: Solve for x
    x = 41,308.01/169.36
  6. Step 6: Final answer
    x = 243.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.