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Finding the Fourth Proportional to 267.80, 403.76 and 214.34

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Solution

The fourth proportional to 267.80, 403.76 and 214.34 is: 323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.80 : 403.76 = 214.34 : x
  2. Step 2: Convert to fraction form
    267.80/403.76 = 214.34/x
  3. Step 3: Cross multiply
    267.80x = 403.76 × 214.34
  4. Step 4: Simplify right side
    267.80x = 86,540.44
  5. Step 5: Solve for x
    x = 86,540.44/267.80
  6. Step 6: Final answer
    x = 323.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.