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Finding the Fourth Proportional to 409.44, 564.71 and 347.16

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Solution

The fourth proportional to 409.44, 564.71 and 347.16 is: 478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.44 : 564.71 = 347.16 : x
  2. Step 2: Convert to fraction form
    409.44/564.71 = 347.16/x
  3. Step 3: Cross multiply
    409.44x = 564.71 × 347.16
  4. Step 4: Simplify right side
    409.44x = 196,042.99
  5. Step 5: Solve for x
    x = 196,042.99/409.44
  6. Step 6: Final answer
    x = 478.81

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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.