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Finding the Fourth Proportional to 408.54, 612.84 and 202.90

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Solution

The fourth proportional to 408.54, 612.84 and 202.90 is: 304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.54 : 612.84 = 202.90 : x
  2. Step 2: Convert to fraction form
    408.54/612.84 = 202.90/x
  3. Step 3: Cross multiply
    408.54x = 612.84 × 202.90
  4. Step 4: Simplify right side
    408.54x = 124,345.24
  5. Step 5: Solve for x
    x = 124,345.24/408.54
  6. Step 6: Final answer
    x = 304.36

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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.