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Finding the Fourth Proportional to 409.78, 564.24 and 344.14

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Solution

The fourth proportional to 409.78, 564.24 and 344.14 is: 473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.78 : 564.24 = 344.14 : x
  2. Step 2: Convert to fraction form
    409.78/564.24 = 344.14/x
  3. Step 3: Cross multiply
    409.78x = 564.24 × 344.14
  4. Step 4: Simplify right side
    409.78x = 194,177.55
  5. Step 5: Solve for x
    x = 194,177.55/409.78
  6. Step 6: Final answer
    x = 473.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.