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Finding the Fourth Proportional to 267.20, 366.32 and 258.56

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Solution

The fourth proportional to 267.20, 366.32 and 258.56 is: 354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.20 : 366.32 = 258.56 : x
  2. Step 2: Convert to fraction form
    267.20/366.32 = 258.56/x
  3. Step 3: Cross multiply
    267.20x = 366.32 × 258.56
  4. Step 4: Simplify right side
    267.20x = 94,715.70
  5. Step 5: Solve for x
    x = 94,715.70/267.20
  6. Step 6: Final answer
    x = 354.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.