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Finding the Fourth Proportional to 176.15, 243.07 and 97.46

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Solution

The fourth proportional to 176.15, 243.07 and 97.46 is: 134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.15 : 243.07 = 97.46 : x
  2. Step 2: Convert to fraction form
    176.15/243.07 = 97.46/x
  3. Step 3: Cross multiply
    176.15x = 243.07 × 97.46
  4. Step 4: Simplify right side
    176.15x = 23,690.76
  5. Step 5: Solve for x
    x = 23,690.76/176.15
  6. Step 6: Final answer
    x = 134.49

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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.