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Finding the Fourth Proportional to 214.65, 296.23 and 131.81

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Solution

The fourth proportional to 214.65, 296.23 and 131.81 is: 181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.65 : 296.23 = 131.81 : x
  2. Step 2: Convert to fraction form
    214.65/296.23 = 131.81/x
  3. Step 3: Cross multiply
    214.65x = 296.23 × 131.81
  4. Step 4: Simplify right side
    214.65x = 39,046.08
  5. Step 5: Solve for x
    x = 39,046.08/214.65
  6. Step 6: Final answer
    x = 181.91

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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.