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Finding the Fourth Proportional to 409.34, 564.89 and 261.78

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Solution

The fourth proportional to 409.34, 564.89 and 261.78 is: 361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.34 : 564.89 = 261.78 : x
  2. Step 2: Convert to fraction form
    409.34/564.89 = 261.78/x
  3. Step 3: Cross multiply
    409.34x = 564.89 × 261.78
  4. Step 4: Simplify right side
    409.34x = 147,875.60
  5. Step 5: Solve for x
    x = 147,875.60/409.34
  6. Step 6: Final answer
    x = 361.26

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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.