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Finding the Fourth Proportional to 493.93, 740.38 and 185.59

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Solution

The fourth proportional to 493.93, 740.38 and 185.59 is: 278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.93 : 740.38 = 185.59 : x
  2. Step 2: Convert to fraction form
    493.93/740.38 = 185.59/x
  3. Step 3: Cross multiply
    493.93x = 740.38 × 185.59
  4. Step 4: Simplify right side
    493.93x = 137,407.12
  5. Step 5: Solve for x
    x = 137,407.12/493.93
  6. Step 6: Final answer
    x = 278.19

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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.