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Finding the Fourth Proportional to 242.91, 335.37 and 154.41

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Solution

The fourth proportional to 242.91, 335.37 and 154.41 is: 213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.91 : 335.37 = 154.41 : x
  2. Step 2: Convert to fraction form
    242.91/335.37 = 154.41/x
  3. Step 3: Cross multiply
    242.91x = 335.37 × 154.41
  4. Step 4: Simplify right side
    242.91x = 51,784.48
  5. Step 5: Solve for x
    x = 51,784.48/242.91
  6. Step 6: Final answer
    x = 213.18

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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.