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Finding the Fourth Proportional to 441.48, 609.24 and 242.31

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Solution

The fourth proportional to 441.48, 609.24 and 242.31 is: 334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.48 : 609.24 = 242.31 : x
  2. Step 2: Convert to fraction form
    441.48/609.24 = 242.31/x
  3. Step 3: Cross multiply
    441.48x = 609.24 × 242.31
  4. Step 4: Simplify right side
    441.48x = 147,624.94
  5. Step 5: Solve for x
    x = 147,624.94/441.48
  6. Step 6: Final answer
    x = 334.39

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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.