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Finding the Fourth Proportional to 176.88, 243.94 and 114.71

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Solution

The fourth proportional to 176.88, 243.94 and 114.71 is: 158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 243.94 = 114.71 : x
  2. Step 2: Convert to fraction form
    176.88/243.94 = 114.71/x
  3. Step 3: Cross multiply
    176.88x = 243.94 × 114.71
  4. Step 4: Simplify right side
    176.88x = 27,982.36
  5. Step 5: Solve for x
    x = 27,982.36/176.88
  6. Step 6: Final answer
    x = 158.20

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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.