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Finding the Fourth Proportional to 214.38, 295.61 and 167.60

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Solution

The fourth proportional to 214.38, 295.61 and 167.60 is: 231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 295.61 = 167.60 : x
  2. Step 2: Convert to fraction form
    214.38/295.61 = 167.60/x
  3. Step 3: Cross multiply
    214.38x = 295.61 × 167.60
  4. Step 4: Simplify right side
    214.38x = 49,544.14
  5. Step 5: Solve for x
    x = 49,544.14/214.38
  6. Step 6: Final answer
    x = 231.10

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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.