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Finding the Fourth Proportional to 267.53, 368.84 and 212.45

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Solution

The fourth proportional to 267.53, 368.84 and 212.45 is: 292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.53 : 368.84 = 212.45 : x
  2. Step 2: Convert to fraction form
    267.53/368.84 = 212.45/x
  3. Step 3: Cross multiply
    267.53x = 368.84 × 212.45
  4. Step 4: Simplify right side
    267.53x = 78,359.00
  5. Step 5: Solve for x
    x = 78,359.00/267.53
  6. Step 6: Final answer
    x = 292.90

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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.