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Finding the Fourth Proportional to 214.90, 296.52 and 165.79

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Solution

The fourth proportional to 214.90, 296.52 and 165.79 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.90 : 296.52 = 165.79 : x
  2. Step 2: Convert to fraction form
    214.90/296.52 = 165.79/x
  3. Step 3: Cross multiply
    214.90x = 296.52 × 165.79
  4. Step 4: Simplify right side
    214.90x = 49,160.05
  5. Step 5: Solve for x
    x = 49,160.05/214.90
  6. Step 6: Final answer
    x = 228.76

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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.