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Finding the Fourth Proportional to 418.90, 578.07 and 232.39

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Solution

The fourth proportional to 418.90, 578.07 and 232.39 is: 320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.90 : 578.07 = 232.39 : x
  2. Step 2: Convert to fraction form
    418.90/578.07 = 232.39/x
  3. Step 3: Cross multiply
    418.90x = 578.07 × 232.39
  4. Step 4: Simplify right side
    418.90x = 134,335.99
  5. Step 5: Solve for x
    x = 134,335.99/418.90
  6. Step 6: Final answer
    x = 320.69

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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.