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Finding the Fourth Proportional to 166.07, 247.81 and 131.45

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Solution

The fourth proportional to 166.07, 247.81 and 131.45 is: 196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.07 : 247.81 = 131.45 : x
  2. Step 2: Convert to fraction form
    166.07/247.81 = 131.45/x
  3. Step 3: Cross multiply
    166.07x = 247.81 × 131.45
  4. Step 4: Simplify right side
    166.07x = 32,574.62
  5. Step 5: Solve for x
    x = 32,574.62/166.07
  6. Step 6: Final answer
    x = 196.15

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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.