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Finding the Fourth Proportional to 409.08, 564.57 and 261.66

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Solution

The fourth proportional to 409.08, 564.57 and 261.66 is: 361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 564.57 = 261.66 : x
  2. Step 2: Convert to fraction form
    409.08/564.57 = 261.66/x
  3. Step 3: Cross multiply
    409.08x = 564.57 × 261.66
  4. Step 4: Simplify right side
    409.08x = 147,725.39
  5. Step 5: Solve for x
    x = 147,725.39/409.08
  6. Step 6: Final answer
    x = 361.12

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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.