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Finding the Fourth Proportional to 214.80, 295.89 and 171.06

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Solution

The fourth proportional to 214.80, 295.89 and 171.06 is: 235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.80 : 295.89 = 171.06 : x
  2. Step 2: Convert to fraction form
    214.80/295.89 = 171.06/x
  3. Step 3: Cross multiply
    214.80x = 295.89 × 171.06
  4. Step 4: Simplify right side
    214.80x = 50,614.94
  5. Step 5: Solve for x
    x = 50,614.94/214.80
  6. Step 6: Final answer
    x = 235.64

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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.