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Finding the Fourth Proportional to 176.84, 243.98 and 106.92

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Solution

The fourth proportional to 176.84, 243.98 and 106.92 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.84 : 243.98 = 106.92 : x
  2. Step 2: Convert to fraction form
    176.84/243.98 = 106.92/x
  3. Step 3: Cross multiply
    176.84x = 243.98 × 106.92
  4. Step 4: Simplify right side
    176.84x = 26,085.81
  5. Step 5: Solve for x
    x = 26,085.81/176.84
  6. Step 6: Final answer
    x = 147.51

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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.