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Finding the Fourth Proportional to 214.92, 320.22 and 202.50

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Solution

The fourth proportional to 214.92, 320.22 and 202.50 is: 301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 320.22 = 202.50 : x
  2. Step 2: Convert to fraction form
    214.92/320.22 = 202.50/x
  3. Step 3: Cross multiply
    214.92x = 320.22 × 202.50
  4. Step 4: Simplify right side
    214.92x = 64,844.55
  5. Step 5: Solve for x
    x = 64,844.55/214.92
  6. Step 6: Final answer
    x = 301.71

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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.