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Finding the Fourth Proportional to 443.65, 611.44 and 361.03

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Solution

The fourth proportional to 443.65, 611.44 and 361.03 is: 497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.65 : 611.44 = 361.03 : x
  2. Step 2: Convert to fraction form
    443.65/611.44 = 361.03/x
  3. Step 3: Cross multiply
    443.65x = 611.44 × 361.03
  4. Step 4: Simplify right side
    443.65x = 220,748.18
  5. Step 5: Solve for x
    x = 220,748.18/443.65
  6. Step 6: Final answer
    x = 497.57

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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.