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Finding the Fourth Proportional to 443.22, 610.93 and 349.81

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Solution

The fourth proportional to 443.22, 610.93 and 349.81 is: 482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.22 : 610.93 = 349.81 : x
  2. Step 2: Convert to fraction form
    443.22/610.93 = 349.81/x
  3. Step 3: Cross multiply
    443.22x = 610.93 × 349.81
  4. Step 4: Simplify right side
    443.22x = 213,709.42
  5. Step 5: Solve for x
    x = 213,709.42/443.22
  6. Step 6: Final answer
    x = 482.17

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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.