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Finding the Fourth Proportional to 409.22, 613.85 and 135.30

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Solution

The fourth proportional to 409.22, 613.85 and 135.30 is: 202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.22 : 613.85 = 135.30 : x
  2. Step 2: Convert to fraction form
    409.22/613.85 = 135.30/x
  3. Step 3: Cross multiply
    409.22x = 613.85 × 135.30
  4. Step 4: Simplify right side
    409.22x = 83,055.53
  5. Step 5: Solve for x
    x = 83,055.53/409.22
  6. Step 6: Final answer
    x = 202.96

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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.