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Finding the Fourth Proportional to 214.29, 320.94 and 181.71

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Solution

The fourth proportional to 214.29, 320.94 and 181.71 is: 272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.29 : 320.94 = 181.71 : x
  2. Step 2: Convert to fraction form
    214.29/320.94 = 181.71/x
  3. Step 3: Cross multiply
    214.29x = 320.94 × 181.71
  4. Step 4: Simplify right side
    214.29x = 58,318.01
  5. Step 5: Solve for x
    x = 58,318.01/214.29
  6. Step 6: Final answer
    x = 272.15

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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.