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Finding the Fourth Proportional to 409.23, 613.85 and 135.34

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Solution

The fourth proportional to 409.23, 613.85 and 135.34 is: 203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.23 : 613.85 = 135.34 : x
  2. Step 2: Convert to fraction form
    409.23/613.85 = 135.34/x
  3. Step 3: Cross multiply
    409.23x = 613.85 × 135.34
  4. Step 4: Simplify right side
    409.23x = 83,076.25
  5. Step 5: Solve for x
    x = 83,076.25/409.23
  6. Step 6: Final answer
    x = 203.01

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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.