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Finding the Fourth Proportional to 409.08, 612.81 and 357.78

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Solution

The fourth proportional to 409.08, 612.81 and 357.78 is: 535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 612.81 = 357.78 : x
  2. Step 2: Convert to fraction form
    409.08/612.81 = 357.78/x
  3. Step 3: Cross multiply
    409.08x = 612.81 × 357.78
  4. Step 4: Simplify right side
    409.08x = 219,251.16
  5. Step 5: Solve for x
    x = 219,251.16/409.08
  6. Step 6: Final answer
    x = 535.96

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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.