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Finding the Fourth Proportional to 418.87, 578.12 and 263.53

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Solution

The fourth proportional to 418.87, 578.12 and 263.53 is: 363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.87 : 578.12 = 263.53 : x
  2. Step 2: Convert to fraction form
    418.87/578.12 = 263.53/x
  3. Step 3: Cross multiply
    418.87x = 578.12 × 263.53
  4. Step 4: Simplify right side
    418.87x = 152,351.96
  5. Step 5: Solve for x
    x = 152,351.96/418.87
  6. Step 6: Final answer
    x = 363.72

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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.