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Finding the Fourth Proportional to 409.56, 564.40 and 316.12

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Solution

The fourth proportional to 409.56, 564.40 and 316.12 is: 435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.56 : 564.40 = 316.12 : x
  2. Step 2: Convert to fraction form
    409.56/564.40 = 316.12/x
  3. Step 3: Cross multiply
    409.56x = 564.40 × 316.12
  4. Step 4: Simplify right side
    409.56x = 178,418.13
  5. Step 5: Solve for x
    x = 178,418.13/409.56
  6. Step 6: Final answer
    x = 435.63

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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.