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Finding the Fourth Proportional to 409, 564 and 261.60

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Solution

The fourth proportional to 409, 564 and 261.60 is: 360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 564 = 261.60 : x
  2. Step 2: Convert to fraction form
    409/564 = 261.60/x
  3. Step 3: Cross multiply
    409x = 564 × 261.60
  4. Step 4: Simplify right side
    409x = 147,542.40
  5. Step 5: Solve for x
    x = 147,542.40/409
  6. Step 6: Final answer
    x = 360.74

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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.