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Finding the Fourth Proportional to 242.80, 334.84 and 149.44

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Solution

The fourth proportional to 242.80, 334.84 and 149.44 is: 206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.80 : 334.84 = 149.44 : x
  2. Step 2: Convert to fraction form
    242.80/334.84 = 149.44/x
  3. Step 3: Cross multiply
    242.80x = 334.84 × 149.44
  4. Step 4: Simplify right side
    242.80x = 50,038.49
  5. Step 5: Solve for x
    x = 50,038.49/242.80
  6. Step 6: Final answer
    x = 206.09

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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.