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Finding the Fourth Proportional to 408.71, 612.54 and 202.84

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Solution

The fourth proportional to 408.71, 612.54 and 202.84 is: 303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.71 : 612.54 = 202.84 : x
  2. Step 2: Convert to fraction form
    408.71/612.54 = 202.84/x
  3. Step 3: Cross multiply
    408.71x = 612.54 × 202.84
  4. Step 4: Simplify right side
    408.71x = 124,246.08
  5. Step 5: Solve for x
    x = 124,246.08/408.71
  6. Step 6: Final answer
    x = 303.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.