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Finding the Fourth Proportional to 405.26, 563.22 and 400.94

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Solution

The fourth proportional to 405.26, 563.22 and 400.94 is: 557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.26 : 563.22 = 400.94 : x
  2. Step 2: Convert to fraction form
    405.26/563.22 = 400.94/x
  3. Step 3: Cross multiply
    405.26x = 563.22 × 400.94
  4. Step 4: Simplify right side
    405.26x = 225,817.43
  5. Step 5: Solve for x
    x = 225,817.43/405.26
  6. Step 6: Final answer
    x = 557.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.