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Finding the Fourth Proportional to 214.71, 295.75 and 198.96

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Solution

The fourth proportional to 214.71, 295.75 and 198.96 is: 274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.71 : 295.75 = 198.96 : x
  2. Step 2: Convert to fraction form
    214.71/295.75 = 198.96/x
  3. Step 3: Cross multiply
    214.71x = 295.75 × 198.96
  4. Step 4: Simplify right side
    214.71x = 58,840.94
  5. Step 5: Solve for x
    x = 58,840.94/214.71
  6. Step 6: Final answer
    x = 274.05

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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.