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Finding the Fourth Proportional to 214.70, 322.32 and 205.25

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Solution

The fourth proportional to 214.70, 322.32 and 205.25 is: 308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.70 : 322.32 = 205.25 : x
  2. Step 2: Convert to fraction form
    214.70/322.32 = 205.25/x
  3. Step 3: Cross multiply
    214.70x = 322.32 × 205.25
  4. Step 4: Simplify right side
    214.70x = 66,156.18
  5. Step 5: Solve for x
    x = 66,156.18/214.70
  6. Step 6: Final answer
    x = 308.13

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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.