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Finding the Fourth Proportional to 214.69, 296.19 and 141.01

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Solution

The fourth proportional to 214.69, 296.19 and 141.01 is: 194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.69 : 296.19 = 141.01 : x
  2. Step 2: Convert to fraction form
    214.69/296.19 = 141.01/x
  3. Step 3: Cross multiply
    214.69x = 296.19 × 141.01
  4. Step 4: Simplify right side
    214.69x = 41,765.75
  5. Step 5: Solve for x
    x = 41,765.75/214.69
  6. Step 6: Final answer
    x = 194.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.