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Finding the Fourth Proportional to 442.86, 662.67 and 279.78

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Solution

The fourth proportional to 442.86, 662.67 and 279.78 is: 418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.86 : 662.67 = 279.78 : x
  2. Step 2: Convert to fraction form
    442.86/662.67 = 279.78/x
  3. Step 3: Cross multiply
    442.86x = 662.67 × 279.78
  4. Step 4: Simplify right side
    442.86x = 185,401.81
  5. Step 5: Solve for x
    x = 185,401.81/442.86
  6. Step 6: Final answer
    x = 418.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.