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Finding the Fourth Proportional to 409.37, 564.80 and 261.99

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Solution

The fourth proportional to 409.37, 564.80 and 261.99 is: 361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.37 : 564.80 = 261.99 : x
  2. Step 2: Convert to fraction form
    409.37/564.80 = 261.99/x
  3. Step 3: Cross multiply
    409.37x = 564.80 × 261.99
  4. Step 4: Simplify right side
    409.37x = 147,970.64
  5. Step 5: Solve for x
    x = 147,970.64/409.37
  6. Step 6: Final answer
    x = 361.46

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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.