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Finding the Fourth Proportional to 214.32, 320.94 and 181.92

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Solution

The fourth proportional to 214.32, 320.94 and 181.92 is: 272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 320.94 = 181.92 : x
  2. Step 2: Convert to fraction form
    214.32/320.94 = 181.92/x
  3. Step 3: Cross multiply
    214.32x = 320.94 × 181.92
  4. Step 4: Simplify right side
    214.32x = 58,385.40
  5. Step 5: Solve for x
    x = 58,385.40/214.32
  6. Step 6: Final answer
    x = 272.42

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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.