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Finding the Fourth Proportional to 409.85, 611.60 and 366.05

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Solution

The fourth proportional to 409.85, 611.60 and 366.05 is: 546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.85 : 611.60 = 366.05 : x
  2. Step 2: Convert to fraction form
    409.85/611.60 = 366.05/x
  3. Step 3: Cross multiply
    409.85x = 611.60 × 366.05
  4. Step 4: Simplify right side
    409.85x = 223,873.12
  5. Step 5: Solve for x
    x = 223,873.12/409.85
  6. Step 6: Final answer
    x = 546.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.