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Finding the Fourth Proportional to 408.51, 613.04 and 202.91

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Solution

The fourth proportional to 408.51, 613.04 and 202.91 is: 304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.51 : 613.04 = 202.91 : x
  2. Step 2: Convert to fraction form
    408.51/613.04 = 202.91/x
  3. Step 3: Cross multiply
    408.51x = 613.04 × 202.91
  4. Step 4: Simplify right side
    408.51x = 124,387.87
  5. Step 5: Solve for x
    x = 124,387.87/408.51
  6. Step 6: Final answer
    x = 304.49

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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.