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Finding the Fourth Proportional to 409.13, 613.85 and 178.21

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Solution

The fourth proportional to 409.13, 613.85 and 178.21 is: 267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.13 : 613.85 = 178.21 : x
  2. Step 2: Convert to fraction form
    409.13/613.85 = 178.21/x
  3. Step 3: Cross multiply
    409.13x = 613.85 × 178.21
  4. Step 4: Simplify right side
    409.13x = 109,393.12
  5. Step 5: Solve for x
    x = 109,393.12/409.13
  6. Step 6: Final answer
    x = 267.38

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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.