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Finding the Fourth Proportional to 214.14, 295.55 and 126.84

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Solution

The fourth proportional to 214.14, 295.55 and 126.84 is: 175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.14 : 295.55 = 126.84 : x
  2. Step 2: Convert to fraction form
    214.14/295.55 = 126.84/x
  3. Step 3: Cross multiply
    214.14x = 295.55 × 126.84
  4. Step 4: Simplify right side
    214.14x = 37,486.93
  5. Step 5: Solve for x
    x = 37,486.93/214.14
  6. Step 6: Final answer
    x = 175.06

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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.