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Finding the Fourth Proportional to 291.44, 434.63 and 267.81

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Solution

The fourth proportional to 291.44, 434.63 and 267.81 is: 399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.44 : 434.63 = 267.81 : x
  2. Step 2: Convert to fraction form
    291.44/434.63 = 267.81/x
  3. Step 3: Cross multiply
    291.44x = 434.63 × 267.81
  4. Step 4: Simplify right side
    291.44x = 116,396.92
  5. Step 5: Solve for x
    x = 116,396.92/291.44
  6. Step 6: Final answer
    x = 399.39

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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.