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Finding the Fourth Proportional to 267.80, 369.50 and 162.88

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Solution

The fourth proportional to 267.80, 369.50 and 162.88 is: 224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.80 : 369.50 = 162.88 : x
  2. Step 2: Convert to fraction form
    267.80/369.50 = 162.88/x
  3. Step 3: Cross multiply
    267.80x = 369.50 × 162.88
  4. Step 4: Simplify right side
    267.80x = 60,184.16
  5. Step 5: Solve for x
    x = 60,184.16/267.80
  6. Step 6: Final answer
    x = 224.74

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