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Finding the Fourth Proportional to 409.13, 563.84 and 291.11

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Solution

The fourth proportional to 409.13, 563.84 and 291.11 is: 401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.13 : 563.84 = 291.11 : x
  2. Step 2: Convert to fraction form
    409.13/563.84 = 291.11/x
  3. Step 3: Cross multiply
    409.13x = 563.84 × 291.11
  4. Step 4: Simplify right side
    409.13x = 164,139.46
  5. Step 5: Solve for x
    x = 164,139.46/409.13
  6. Step 6: Final answer
    x = 401.19

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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.