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Finding the Fourth Proportional to 242.25, 334.16 and 143.94

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Solution

The fourth proportional to 242.25, 334.16 and 143.94 is: 198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.25 : 334.16 = 143.94 : x
  2. Step 2: Convert to fraction form
    242.25/334.16 = 143.94/x
  3. Step 3: Cross multiply
    242.25x = 334.16 × 143.94
  4. Step 4: Simplify right side
    242.25x = 48,098.27
  5. Step 5: Solve for x
    x = 48,098.27/242.25
  6. Step 6: Final answer
    x = 198.55

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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.