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Finding the Fourth Proportional to 214.16, 320.35 and 181.69

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Solution

The fourth proportional to 214.16, 320.35 and 181.69 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.16 : 320.35 = 181.69 : x
  2. Step 2: Convert to fraction form
    214.16/320.35 = 181.69/x
  3. Step 3: Cross multiply
    214.16x = 320.35 × 181.69
  4. Step 4: Simplify right side
    214.16x = 58,203.14
  5. Step 5: Solve for x
    x = 58,203.14/214.16
  6. Step 6: Final answer
    x = 271.78

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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.