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Finding the Fourth Proportional to 214.38, 320.22 and 178.34

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Solution

The fourth proportional to 214.38, 320.22 and 178.34 is: 266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 320.22 = 178.34 : x
  2. Step 2: Convert to fraction form
    214.38/320.22 = 178.34/x
  3. Step 3: Cross multiply
    214.38x = 320.22 × 178.34
  4. Step 4: Simplify right side
    214.38x = 57,106.43
  5. Step 5: Solve for x
    x = 57,106.43/214.38
  6. Step 6: Final answer
    x = 266.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.