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Finding the Fourth Proportional to 442.65, 663.03 and 361.11

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Solution

The fourth proportional to 442.65, 663.03 and 361.11 is: 540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.65 : 663.03 = 361.11 : x
  2. Step 2: Convert to fraction form
    442.65/663.03 = 361.11/x
  3. Step 3: Cross multiply
    442.65x = 663.03 × 361.11
  4. Step 4: Simplify right side
    442.65x = 239,426.76
  5. Step 5: Solve for x
    x = 239,426.76/442.65
  6. Step 6: Final answer
    x = 540.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.