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Finding the Fourth Proportional to 214.17, 322.39 and 182.85

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Solution

The fourth proportional to 214.17, 322.39 and 182.85 is: 275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.17 : 322.39 = 182.85 : x
  2. Step 2: Convert to fraction form
    214.17/322.39 = 182.85/x
  3. Step 3: Cross multiply
    214.17x = 322.39 × 182.85
  4. Step 4: Simplify right side
    214.17x = 58,950.27
  5. Step 5: Solve for x
    x = 58,950.27/214.17
  6. Step 6: Final answer
    x = 275.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.