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Finding the Fourth Proportional to 214.99, 296.82 and 165.79

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Solution

The fourth proportional to 214.99, 296.82 and 165.79 is: 228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.99 : 296.82 = 165.79 : x
  2. Step 2: Convert to fraction form
    214.99/296.82 = 165.79/x
  3. Step 3: Cross multiply
    214.99x = 296.82 × 165.79
  4. Step 4: Simplify right side
    214.99x = 49,209.79
  5. Step 5: Solve for x
    x = 49,209.79/214.99
  6. Step 6: Final answer
    x = 228.89

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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.