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Finding the Fourth Proportional to 418.91, 578.34 and 279.22

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Solution

The fourth proportional to 418.91, 578.34 and 279.22 is: 385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.91 : 578.34 = 279.22 : x
  2. Step 2: Convert to fraction form
    418.91/578.34 = 279.22/x
  3. Step 3: Cross multiply
    418.91x = 578.34 × 279.22
  4. Step 4: Simplify right side
    418.91x = 161,482.70
  5. Step 5: Solve for x
    x = 161,482.70/418.91
  6. Step 6: Final answer
    x = 385.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.