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Finding the Fourth Proportional to 217.84, 325.13 and 214.24

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Solution

The fourth proportional to 217.84, 325.13 and 214.24 is: 319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.84 : 325.13 = 214.24 : x
  2. Step 2: Convert to fraction form
    217.84/325.13 = 214.24/x
  3. Step 3: Cross multiply
    217.84x = 325.13 × 214.24
  4. Step 4: Simplify right side
    217.84x = 69,655.85
  5. Step 5: Solve for x
    x = 69,655.85/217.84
  6. Step 6: Final answer
    x = 319.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.