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Finding the Fourth Proportional to 409.37, 564.98 and 261.95

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Solution

The fourth proportional to 409.37, 564.98 and 261.95 is: 361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.37 : 564.98 = 261.95 : x
  2. Step 2: Convert to fraction form
    409.37/564.98 = 261.95/x
  3. Step 3: Cross multiply
    409.37x = 564.98 × 261.95
  4. Step 4: Simplify right side
    409.37x = 147,992.38
  5. Step 5: Solve for x
    x = 147,992.38/409.37
  6. Step 6: Final answer
    x = 361.52

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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.