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Finding the Fourth Proportional to 493.99, 741.07 and 185.89

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Solution

The fourth proportional to 493.99, 741.07 and 185.89 is: 278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.99 : 741.07 = 185.89 : x
  2. Step 2: Convert to fraction form
    493.99/741.07 = 185.89/x
  3. Step 3: Cross multiply
    493.99x = 741.07 × 185.89
  4. Step 4: Simplify right side
    493.99x = 137,755.88
  5. Step 5: Solve for x
    x = 137,755.88/493.99
  6. Step 6: Final answer
    x = 278.86

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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.