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Finding the Fourth Proportional to 214.70, 323.08 and 178.43

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Solution

The fourth proportional to 214.70, 323.08 and 178.43 is: 268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.70 : 323.08 = 178.43 : x
  2. Step 2: Convert to fraction form
    214.70/323.08 = 178.43/x
  3. Step 3: Cross multiply
    214.70x = 323.08 × 178.43
  4. Step 4: Simplify right side
    214.70x = 57,645.10
  5. Step 5: Solve for x
    x = 57,645.10/214.70
  6. Step 6: Final answer
    x = 268.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.