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Finding the Fourth Proportional to 409.14, 564.72 and 343.53

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Solution

The fourth proportional to 409.14, 564.72 and 343.53 is: 474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.14 : 564.72 = 343.53 : x
  2. Step 2: Convert to fraction form
    409.14/564.72 = 343.53/x
  3. Step 3: Cross multiply
    409.14x = 564.72 × 343.53
  4. Step 4: Simplify right side
    409.14x = 193,998.26
  5. Step 5: Solve for x
    x = 193,998.26/409.14
  6. Step 6: Final answer
    x = 474.16

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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.