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Finding the Fourth Proportional to 166.76, 230.76 and 142.16

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Solution

The fourth proportional to 166.76, 230.76 and 142.16 is: 196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.76 : 230.76 = 142.16 : x
  2. Step 2: Convert to fraction form
    166.76/230.76 = 142.16/x
  3. Step 3: Cross multiply
    166.76x = 230.76 × 142.16
  4. Step 4: Simplify right side
    166.76x = 32,804.84
  5. Step 5: Solve for x
    x = 32,804.84/166.76
  6. Step 6: Final answer
    x = 196.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.