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Finding the Fourth Proportional to 214.67, 322.61 and 154.19

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Solution

The fourth proportional to 214.67, 322.61 and 154.19 is: 231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.67 : 322.61 = 154.19 : x
  2. Step 2: Convert to fraction form
    214.67/322.61 = 154.19/x
  3. Step 3: Cross multiply
    214.67x = 322.61 × 154.19
  4. Step 4: Simplify right side
    214.67x = 49,740.85
  5. Step 5: Solve for x
    x = 49,740.85/214.67
  6. Step 6: Final answer
    x = 231.71

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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.