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Finding the Fourth Proportional to 214.14, 295.70 and 140.79

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Solution

The fourth proportional to 214.14, 295.70 and 140.79 is: 194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.14 : 295.70 = 140.79 : x
  2. Step 2: Convert to fraction form
    214.14/295.70 = 140.79/x
  3. Step 3: Cross multiply
    214.14x = 295.70 × 140.79
  4. Step 4: Simplify right side
    214.14x = 41,631.14
  5. Step 5: Solve for x
    x = 41,631.14/214.14
  6. Step 6: Final answer
    x = 194.41

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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.