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Finding the Fourth Proportional to 293.70, 438.25 and 267.83

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Solution

The fourth proportional to 293.70, 438.25 and 267.83 is: 399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.70 : 438.25 = 267.83 : x
  2. Step 2: Convert to fraction form
    293.70/438.25 = 267.83/x
  3. Step 3: Cross multiply
    293.70x = 438.25 × 267.83
  4. Step 4: Simplify right side
    293.70x = 117,375.16
  5. Step 5: Solve for x
    x = 117,375.16/293.70
  6. Step 6: Final answer
    x = 399.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.