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Finding the Fourth Proportional to 408.14, 563.18 and 242.30

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Solution

The fourth proportional to 408.14, 563.18 and 242.30 is: 334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.14 : 563.18 = 242.30 : x
  2. Step 2: Convert to fraction form
    408.14/563.18 = 242.30/x
  3. Step 3: Cross multiply
    408.14x = 563.18 × 242.30
  4. Step 4: Simplify right side
    408.14x = 136,458.51
  5. Step 5: Solve for x
    x = 136,458.51/408.14
  6. Step 6: Final answer
    x = 334.34

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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.