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Finding the Fourth Proportional to 214.45, 296.06 and 140.84

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Solution

The fourth proportional to 214.45, 296.06 and 140.84 is: 194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.45 : 296.06 = 140.84 : x
  2. Step 2: Convert to fraction form
    214.45/296.06 = 140.84/x
  3. Step 3: Cross multiply
    214.45x = 296.06 × 140.84
  4. Step 4: Simplify right side
    214.45x = 41,696.02
  5. Step 5: Solve for x
    x = 41,696.02/214.45
  6. Step 6: Final answer
    x = 194.43

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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.