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Finding the Fourth Proportional to 409.52, 564.74 and 316.11

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Solution

The fourth proportional to 409.52, 564.74 and 316.11 is: 435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.52 : 564.74 = 316.11 : x
  2. Step 2: Convert to fraction form
    409.52/564.74 = 316.11/x
  3. Step 3: Cross multiply
    409.52x = 564.74 × 316.11
  4. Step 4: Simplify right side
    409.52x = 178,518.38
  5. Step 5: Solve for x
    x = 178,518.38/409.52
  6. Step 6: Final answer
    x = 435.93

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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.