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Finding the Fourth Proportional to 409.42, 613.78 and 203.89

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Solution

The fourth proportional to 409.42, 613.78 and 203.89 is: 305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.42 : 613.78 = 203.89 : x
  2. Step 2: Convert to fraction form
    409.42/613.78 = 203.89/x
  3. Step 3: Cross multiply
    409.42x = 613.78 × 203.89
  4. Step 4: Simplify right side
    409.42x = 125,143.60
  5. Step 5: Solve for x
    x = 125,143.60/409.42
  6. Step 6: Final answer
    x = 305.66

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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.