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Finding the Fourth Proportional to 242.84, 335.09 and 149.59

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Solution

The fourth proportional to 242.84, 335.09 and 149.59 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.84 : 335.09 = 149.59 : x
  2. Step 2: Convert to fraction form
    242.84/335.09 = 149.59/x
  3. Step 3: Cross multiply
    242.84x = 335.09 × 149.59
  4. Step 4: Simplify right side
    242.84x = 50,124.53
  5. Step 5: Solve for x
    x = 50,124.53/242.84
  6. Step 6: Final answer
    x = 206.41

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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.