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Finding the Fourth Proportional to 176.43, 243.43 and 106.51

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Solution

The fourth proportional to 176.43, 243.43 and 106.51 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.43 : 243.43 = 106.51 : x
  2. Step 2: Convert to fraction form
    176.43/243.43 = 106.51/x
  3. Step 3: Cross multiply
    176.43x = 243.43 × 106.51
  4. Step 4: Simplify right side
    176.43x = 25,927.73
  5. Step 5: Solve for x
    x = 25,927.73/176.43
  6. Step 6: Final answer
    x = 146.96

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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.