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Finding the Fourth Proportional to 267.67, 368.61 and 230.02

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Solution

The fourth proportional to 267.67, 368.61 and 230.02 is: 316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.67 : 368.61 = 230.02 : x
  2. Step 2: Convert to fraction form
    267.67/368.61 = 230.02/x
  3. Step 3: Cross multiply
    267.67x = 368.61 × 230.02
  4. Step 4: Simplify right side
    267.67x = 84,787.67
  5. Step 5: Solve for x
    x = 84,787.67/267.67
  6. Step 6: Final answer
    x = 316.77

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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.