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Finding the Fourth Proportional to 408, 563.14 and 233.45

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Solution

The fourth proportional to 408, 563.14 and 233.45 is: 322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 563.14 = 233.45 : x
  2. Step 2: Convert to fraction form
    408/563.14 = 233.45/x
  3. Step 3: Cross multiply
    408x = 563.14 × 233.45
  4. Step 4: Simplify right side
    408x = 131,465.03
  5. Step 5: Solve for x
    x = 131,465.03/408
  6. Step 6: Final answer
    x = 322.22

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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.