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Finding the Fourth Proportional to 267.23, 368.78 and 156.74

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Solution

The fourth proportional to 267.23, 368.78 and 156.74 is: 216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.23 : 368.78 = 156.74 : x
  2. Step 2: Convert to fraction form
    267.23/368.78 = 156.74/x
  3. Step 3: Cross multiply
    267.23x = 368.78 × 156.74
  4. Step 4: Simplify right side
    267.23x = 57,799.95
  5. Step 5: Solve for x
    x = 57,799.95/267.23
  6. Step 6: Final answer
    x = 216.29

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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.