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Finding the Fourth Proportional to 491.52, 736.68 and 274.80

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Solution

The fourth proportional to 491.52, 736.68 and 274.80 is: 411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.52 : 736.68 = 274.80 : x
  2. Step 2: Convert to fraction form
    491.52/736.68 = 274.80/x
  3. Step 3: Cross multiply
    491.52x = 736.68 × 274.80
  4. Step 4: Simplify right side
    491.52x = 202,439.66
  5. Step 5: Solve for x
    x = 202,439.66/491.52
  6. Step 6: Final answer
    x = 411.86

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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.