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Finding the Fourth Proportional to 267.84, 369.67 and 157.31

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Solution

The fourth proportional to 267.84, 369.67 and 157.31 is: 217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.84 : 369.67 = 157.31 : x
  2. Step 2: Convert to fraction form
    267.84/369.67 = 157.31/x
  3. Step 3: Cross multiply
    267.84x = 369.67 × 157.31
  4. Step 4: Simplify right side
    267.84x = 58,152.93
  5. Step 5: Solve for x
    x = 58,152.93/267.84
  6. Step 6: Final answer
    x = 217.12

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Why These Related Problems?

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