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Finding the Fourth Proportional to 408.26, 563.31 and 242.53

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Solution

The fourth proportional to 408.26, 563.31 and 242.53 is: 334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.26 : 563.31 = 242.53 : x
  2. Step 2: Convert to fraction form
    408.26/563.31 = 242.53/x
  3. Step 3: Cross multiply
    408.26x = 563.31 × 242.53
  4. Step 4: Simplify right side
    408.26x = 136,618.17
  5. Step 5: Solve for x
    x = 136,618.17/408.26
  6. Step 6: Final answer
    x = 334.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.