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Finding the Fourth Proportional to 198.34, 298.61 and 178.50

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Solution

The fourth proportional to 198.34, 298.61 and 178.50 is: 268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.34 : 298.61 = 178.50 : x
  2. Step 2: Convert to fraction form
    198.34/298.61 = 178.50/x
  3. Step 3: Cross multiply
    198.34x = 298.61 × 178.50
  4. Step 4: Simplify right side
    198.34x = 53,301.89
  5. Step 5: Solve for x
    x = 53,301.89/198.34
  6. Step 6: Final answer
    x = 268.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.