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Finding the Fourth Proportional to 214.08, 295.05 and 165.08

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Solution

The fourth proportional to 214.08, 295.05 and 165.08 is: 227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.08 : 295.05 = 165.08 : x
  2. Step 2: Convert to fraction form
    214.08/295.05 = 165.08/x
  3. Step 3: Cross multiply
    214.08x = 295.05 × 165.08
  4. Step 4: Simplify right side
    214.08x = 48,705.38
  5. Step 5: Solve for x
    x = 48,705.38/214.08
  6. Step 6: Final answer
    x = 227.51

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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.