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Finding the Fourth Proportional to 176.72, 243.76 and 114.48

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Solution

The fourth proportional to 176.72, 243.76 and 114.48 is: 157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.72 : 243.76 = 114.48 : x
  2. Step 2: Convert to fraction form
    176.72/243.76 = 114.48/x
  3. Step 3: Cross multiply
    176.72x = 243.76 × 114.48
  4. Step 4: Simplify right side
    176.72x = 27,905.64
  5. Step 5: Solve for x
    x = 27,905.64/176.72
  6. Step 6: Final answer
    x = 157.91

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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.