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Finding the Fourth Proportional to 409.01, 564.53 and 243.27

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Solution

The fourth proportional to 409.01, 564.53 and 243.27 is: 335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.01 : 564.53 = 243.27 : x
  2. Step 2: Convert to fraction form
    409.01/564.53 = 243.27/x
  3. Step 3: Cross multiply
    409.01x = 564.53 × 243.27
  4. Step 4: Simplify right side
    409.01x = 137,332.00
  5. Step 5: Solve for x
    x = 137,332.00/409.01
  6. Step 6: Final answer
    x = 335.77

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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.