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Finding the Fourth Proportional to 409.25, 613.86 and 178.01

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Solution

The fourth proportional to 409.25, 613.86 and 178.01 is: 267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.25 : 613.86 = 178.01 : x
  2. Step 2: Convert to fraction form
    409.25/613.86 = 178.01/x
  3. Step 3: Cross multiply
    409.25x = 613.86 × 178.01
  4. Step 4: Simplify right side
    409.25x = 109,276.24
  5. Step 5: Solve for x
    x = 109,276.24/409.25
  6. Step 6: Final answer
    x = 267.01

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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.