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Finding the Fourth Proportional to 409.35, 613.01 and 278.88

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Solution

The fourth proportional to 409.35, 613.01 and 278.88 is: 417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.35 : 613.01 = 278.88 : x
  2. Step 2: Convert to fraction form
    409.35/613.01 = 278.88/x
  3. Step 3: Cross multiply
    409.35x = 613.01 × 278.88
  4. Step 4: Simplify right side
    409.35x = 170,956.23
  5. Step 5: Solve for x
    x = 170,956.23/409.35
  6. Step 6: Final answer
    x = 417.63

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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.