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Finding the Fourth Proportional to 291.30, 401.52 and 267.46

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Solution

The fourth proportional to 291.30, 401.52 and 267.46 is: 368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.30 : 401.52 = 267.46 : x
  2. Step 2: Convert to fraction form
    291.30/401.52 = 267.46/x
  3. Step 3: Cross multiply
    291.30x = 401.52 × 267.46
  4. Step 4: Simplify right side
    291.30x = 107,390.54
  5. Step 5: Solve for x
    x = 107,390.54/291.30
  6. Step 6: Final answer
    x = 368.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.