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Finding the Fourth Proportional to 493.87, 740.83 and 185.70

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Solution

The fourth proportional to 493.87, 740.83 and 185.70 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.87 : 740.83 = 185.70 : x
  2. Step 2: Convert to fraction form
    493.87/740.83 = 185.70/x
  3. Step 3: Cross multiply
    493.87x = 740.83 × 185.70
  4. Step 4: Simplify right side
    493.87x = 137,572.13
  5. Step 5: Solve for x
    x = 137,572.13/493.87
  6. Step 6: Final answer
    x = 278.56

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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.