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Finding the Fourth Proportional to 267.35, 368.81 and 160.95

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Solution

The fourth proportional to 267.35, 368.81 and 160.95 is: 222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.35 : 368.81 = 160.95 : x
  2. Step 2: Convert to fraction form
    267.35/368.81 = 160.95/x
  3. Step 3: Cross multiply
    267.35x = 368.81 × 160.95
  4. Step 4: Simplify right side
    267.35x = 59,359.77
  5. Step 5: Solve for x
    x = 59,359.77/267.35
  6. Step 6: Final answer
    x = 222.03

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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.