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Finding the Fourth Proportional to 409.26, 613.58 and 278.93

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Solution

The fourth proportional to 409.26, 613.58 and 278.93 is: 418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.26 : 613.58 = 278.93 : x
  2. Step 2: Convert to fraction form
    409.26/613.58 = 278.93/x
  3. Step 3: Cross multiply
    409.26x = 613.58 × 278.93
  4. Step 4: Simplify right side
    409.26x = 171,141.41
  5. Step 5: Solve for x
    x = 171,141.41/409.26
  6. Step 6: Final answer
    x = 418.17

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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.