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Finding the Fourth Proportional to 267.76, 401.37 and 203.50

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Solution

The fourth proportional to 267.76, 401.37 and 203.50 is: 305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.76 : 401.37 = 203.50 : x
  2. Step 2: Convert to fraction form
    267.76/401.37 = 203.50/x
  3. Step 3: Cross multiply
    267.76x = 401.37 × 203.50
  4. Step 4: Simplify right side
    267.76x = 81,678.80
  5. Step 5: Solve for x
    x = 81,678.80/267.76
  6. Step 6: Final answer
    x = 305.04

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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.