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Finding the Fourth Proportional to 491.20, 736.62 and 182.98

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Solution

The fourth proportional to 491.20, 736.62 and 182.98 is: 274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.20 : 736.62 = 182.98 : x
  2. Step 2: Convert to fraction form
    491.20/736.62 = 182.98/x
  3. Step 3: Cross multiply
    491.20x = 736.62 × 182.98
  4. Step 4: Simplify right side
    491.20x = 134,786.73
  5. Step 5: Solve for x
    x = 134,786.73/491.20
  6. Step 6: Final answer
    x = 274.40

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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.