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Finding the Fourth Proportional to 267.15, 398.82 and 228.22

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Solution

The fourth proportional to 267.15, 398.82 and 228.22 is: 340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.15 : 398.82 = 228.22 : x
  2. Step 2: Convert to fraction form
    267.15/398.82 = 228.22/x
  3. Step 3: Cross multiply
    267.15x = 398.82 × 228.22
  4. Step 4: Simplify right side
    267.15x = 91,018.56
  5. Step 5: Solve for x
    x = 91,018.56/267.15
  6. Step 6: Final answer
    x = 340.70

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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.