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Finding the Fourth Proportional to 409.64, 564.52 and 262.02

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Solution

The fourth proportional to 409.64, 564.52 and 262.02 is: 361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.64 : 564.52 = 262.02 : x
  2. Step 2: Convert to fraction form
    409.64/564.52 = 262.02/x
  3. Step 3: Cross multiply
    409.64x = 564.52 × 262.02
  4. Step 4: Simplify right side
    409.64x = 147,914.31
  5. Step 5: Solve for x
    x = 147,914.31/409.64
  6. Step 6: Final answer
    x = 361.08

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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.