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Finding the Fourth Proportional to 409.28, 564.80 and 229.82

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Solution

The fourth proportional to 409.28, 564.80 and 229.82 is: 317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.28 : 564.80 = 229.82 : x
  2. Step 2: Convert to fraction form
    409.28/564.80 = 229.82/x
  3. Step 3: Cross multiply
    409.28x = 564.80 × 229.82
  4. Step 4: Simplify right side
    409.28x = 129,804.32
  5. Step 5: Solve for x
    x = 129,804.32/409.28
  6. Step 6: Final answer
    x = 317.15

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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.