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Finding the Fourth Proportional to 267.58, 370.68 and 261.20

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Solution

The fourth proportional to 267.58, 370.68 and 261.20 is: 361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.58 : 370.68 = 261.20 : x
  2. Step 2: Convert to fraction form
    267.58/370.68 = 261.20/x
  3. Step 3: Cross multiply
    267.58x = 370.68 × 261.20
  4. Step 4: Simplify right side
    267.58x = 96,819.76
  5. Step 5: Solve for x
    x = 96,819.76/267.58
  6. Step 6: Final answer
    x = 361.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.