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Finding the Fourth Proportional to 242.54, 334.78 and 199.34

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Solution

The fourth proportional to 242.54, 334.78 and 199.34 is: 275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.54 : 334.78 = 199.34 : x
  2. Step 2: Convert to fraction form
    242.54/334.78 = 199.34/x
  3. Step 3: Cross multiply
    242.54x = 334.78 × 199.34
  4. Step 4: Simplify right side
    242.54x = 66,735.05
  5. Step 5: Solve for x
    x = 66,735.05/242.54
  6. Step 6: Final answer
    x = 275.15

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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.