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Finding the Fourth Proportional to 214.79, 296.31 and 127.42

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Solution

The fourth proportional to 214.79, 296.31 and 127.42 is: 175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.79 : 296.31 = 127.42 : x
  2. Step 2: Convert to fraction form
    214.79/296.31 = 127.42/x
  3. Step 3: Cross multiply
    214.79x = 296.31 × 127.42
  4. Step 4: Simplify right side
    214.79x = 37,755.18
  5. Step 5: Solve for x
    x = 37,755.18/214.79
  6. Step 6: Final answer
    x = 175.78

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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.