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Finding the Fourth Proportional to 267.42, 369 and 156.89

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Solution

The fourth proportional to 267.42, 369 and 156.89 is: 216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.42 : 369 = 156.89 : x
  2. Step 2: Convert to fraction form
    267.42/369 = 156.89/x
  3. Step 3: Cross multiply
    267.42x = 369 × 156.89
  4. Step 4: Simplify right side
    267.42x = 57,890.57
  5. Step 5: Solve for x
    x = 57,890.57/267.42
  6. Step 6: Final answer
    x = 216.48

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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.