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Finding the Fourth Proportional to 409.14, 564.90 and 315.72

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Solution

The fourth proportional to 409.14, 564.90 and 315.72 is: 435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.14 : 564.90 = 315.72 : x
  2. Step 2: Convert to fraction form
    409.14/564.90 = 315.72/x
  3. Step 3: Cross multiply
    409.14x = 564.90 × 315.72
  4. Step 4: Simplify right side
    409.14x = 178,350.23
  5. Step 5: Solve for x
    x = 178,350.23/409.14
  6. Step 6: Final answer
    x = 435.91

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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.