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Finding the Fourth Proportional to 176.85, 244.13 and 103.15

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Solution

The fourth proportional to 176.85, 244.13 and 103.15 is: 142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.85 : 244.13 = 103.15 : x
  2. Step 2: Convert to fraction form
    176.85/244.13 = 103.15/x
  3. Step 3: Cross multiply
    176.85x = 244.13 × 103.15
  4. Step 4: Simplify right side
    176.85x = 25,182.01
  5. Step 5: Solve for x
    x = 25,182.01/176.85
  6. Step 6: Final answer
    x = 142.39

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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.