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Finding the Fourth Proportional to 214.17, 321.50 and 171.36

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Solution

The fourth proportional to 214.17, 321.50 and 171.36 is: 257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.17 : 321.50 = 171.36 : x
  2. Step 2: Convert to fraction form
    214.17/321.50 = 171.36/x
  3. Step 3: Cross multiply
    214.17x = 321.50 × 171.36
  4. Step 4: Simplify right side
    214.17x = 55,092.24
  5. Step 5: Solve for x
    x = 55,092.24/214.17
  6. Step 6: Final answer
    x = 257.24

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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.