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Finding the Fourth Proportional to 198.46, 296.55 and 143.35

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Solution

The fourth proportional to 198.46, 296.55 and 143.35 is: 214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.46 : 296.55 = 143.35 : x
  2. Step 2: Convert to fraction form
    198.46/296.55 = 143.35/x
  3. Step 3: Cross multiply
    198.46x = 296.55 × 143.35
  4. Step 4: Simplify right side
    198.46x = 42,510.44
  5. Step 5: Solve for x
    x = 42,510.44/198.46
  6. Step 6: Final answer
    x = 214.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.