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Finding the Fourth Proportional to 730.31, 1,095.46 and 267.91

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Solution

The fourth proportional to 730.31, 1,095.46 and 267.91 is: 401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.31 : 1,095.46 = 267.91 : x
  2. Step 2: Convert to fraction form
    730.31/1,095.46 = 267.91/x
  3. Step 3: Cross multiply
    730.31x = 1,095.46 × 267.91
  4. Step 4: Simplify right side
    730.31x = 293,483.87
  5. Step 5: Solve for x
    x = 293,483.87/730.31
  6. Step 6: Final answer
    x = 401.86

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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.