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Finding the Fourth Proportional to 198.29, 297.61 and 152.92

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Solution

The fourth proportional to 198.29, 297.61 and 152.92 is: 229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.29 : 297.61 = 152.92 : x
  2. Step 2: Convert to fraction form
    198.29/297.61 = 152.92/x
  3. Step 3: Cross multiply
    198.29x = 297.61 × 152.92
  4. Step 4: Simplify right side
    198.29x = 45,510.52
  5. Step 5: Solve for x
    x = 45,510.52/198.29
  6. Step 6: Final answer
    x = 229.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.