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Finding the Fourth Proportional to 176.13, 243.07 and 102.48

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Solution

The fourth proportional to 176.13, 243.07 and 102.48 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.13 : 243.07 = 102.48 : x
  2. Step 2: Convert to fraction form
    176.13/243.07 = 102.48/x
  3. Step 3: Cross multiply
    176.13x = 243.07 × 102.48
  4. Step 4: Simplify right side
    176.13x = 24,909.81
  5. Step 5: Solve for x
    x = 24,909.81/176.13
  6. Step 6: Final answer
    x = 141.43

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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.