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Finding the Fourth Proportional to 214.65, 296.21 and 140.96

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Solution

The fourth proportional to 214.65, 296.21 and 140.96 is: 194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.65 : 296.21 = 140.96 : x
  2. Step 2: Convert to fraction form
    214.65/296.21 = 140.96/x
  3. Step 3: Cross multiply
    214.65x = 296.21 × 140.96
  4. Step 4: Simplify right side
    214.65x = 41,751.58
  5. Step 5: Solve for x
    x = 41,751.58/214.65
  6. Step 6: Final answer
    x = 194.51

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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.