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Finding the Fourth Proportional to 730.31, 1,094.81 and 267.76

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Solution

The fourth proportional to 730.31, 1,094.81 and 267.76 is: 401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.31 : 1,094.81 = 267.76 : x
  2. Step 2: Convert to fraction form
    730.31/1,094.81 = 267.76/x
  3. Step 3: Cross multiply
    730.31x = 1,094.81 × 267.76
  4. Step 4: Simplify right side
    730.31x = 293,146.33
  5. Step 5: Solve for x
    x = 293,146.33/730.31
  6. Step 6: Final answer
    x = 401.40

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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.