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Finding the Fourth Proportional to 214.60, 322.13 and 213.84

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Solution

The fourth proportional to 214.60, 322.13 and 213.84 is: 320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.60 : 322.13 = 213.84 : x
  2. Step 2: Convert to fraction form
    214.60/322.13 = 213.84/x
  3. Step 3: Cross multiply
    214.60x = 322.13 × 213.84
  4. Step 4: Simplify right side
    214.60x = 68,884.28
  5. Step 5: Solve for x
    x = 68,884.28/214.60
  6. Step 6: Final answer
    x = 320.99

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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.