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Finding the Fourth Proportional to 242.05, 333.72 and 192.84

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Solution

The fourth proportional to 242.05, 333.72 and 192.84 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.05 : 333.72 = 192.84 : x
  2. Step 2: Convert to fraction form
    242.05/333.72 = 192.84/x
  3. Step 3: Cross multiply
    242.05x = 333.72 × 192.84
  4. Step 4: Simplify right side
    242.05x = 64,354.56
  5. Step 5: Solve for x
    x = 64,354.56/242.05
  6. Step 6: Final answer
    x = 265.87

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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.