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Finding the Fourth Proportional to 381.87, 527.21 and 242.11

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Solution

The fourth proportional to 381.87, 527.21 and 242.11 is: 334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.87 : 527.21 = 242.11 : x
  2. Step 2: Convert to fraction form
    381.87/527.21 = 242.11/x
  3. Step 3: Cross multiply
    381.87x = 527.21 × 242.11
  4. Step 4: Simplify right side
    381.87x = 127,642.81
  5. Step 5: Solve for x
    x = 127,642.81/381.87
  6. Step 6: Final answer
    x = 334.26

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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.