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Finding the Fourth Proportional to 169.47, 255.12 and 131.16

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Solution

The fourth proportional to 169.47, 255.12 and 131.16 is: 197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.47 : 255.12 = 131.16 : x
  2. Step 2: Convert to fraction form
    169.47/255.12 = 131.16/x
  3. Step 3: Cross multiply
    169.47x = 255.12 × 131.16
  4. Step 4: Simplify right side
    169.47x = 33,461.54
  5. Step 5: Solve for x
    x = 33,461.54/169.47
  6. Step 6: Final answer
    x = 197.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.