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Finding the Fourth Proportional to 491.98, 738.10 and 183.82

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Solution

The fourth proportional to 491.98, 738.10 and 183.82 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.98 : 738.10 = 183.82 : x
  2. Step 2: Convert to fraction form
    491.98/738.10 = 183.82/x
  3. Step 3: Cross multiply
    491.98x = 738.10 × 183.82
  4. Step 4: Simplify right side
    491.98x = 135,677.54
  5. Step 5: Solve for x
    x = 135,677.54/491.98
  6. Step 6: Final answer
    x = 275.78

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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.