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Finding the Fourth Proportional to 291.84, 438.12 and 267.36

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Solution

The fourth proportional to 291.84, 438.12 and 267.36 is: 401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.84 : 438.12 = 267.36 : x
  2. Step 2: Convert to fraction form
    291.84/438.12 = 267.36/x
  3. Step 3: Cross multiply
    291.84x = 438.12 × 267.36
  4. Step 4: Simplify right side
    291.84x = 117,135.76
  5. Step 5: Solve for x
    x = 117,135.76/291.84
  6. Step 6: Final answer
    x = 401.37

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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.