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Finding the Fourth Proportional to 267.61, 368.50 and 212.17

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Solution

The fourth proportional to 267.61, 368.50 and 212.17 is: 292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.61 : 368.50 = 212.17 : x
  2. Step 2: Convert to fraction form
    267.61/368.50 = 212.17/x
  3. Step 3: Cross multiply
    267.61x = 368.50 × 212.17
  4. Step 4: Simplify right side
    267.61x = 78,184.65
  5. Step 5: Solve for x
    x = 78,184.65/267.61
  6. Step 6: Final answer
    x = 292.16

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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.