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Finding the Fourth Proportional to 176.71, 243.88 and 102.03

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Solution

The fourth proportional to 176.71, 243.88 and 102.03 is: 140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.71 : 243.88 = 102.03 : x
  2. Step 2: Convert to fraction form
    176.71/243.88 = 102.03/x
  3. Step 3: Cross multiply
    176.71x = 243.88 × 102.03
  4. Step 4: Simplify right side
    176.71x = 24,883.08
  5. Step 5: Solve for x
    x = 24,883.08/176.71
  6. Step 6: Final answer
    x = 140.81

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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.