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Finding the Fourth Proportional to 270.83, 374.25 and 221.69

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Solution

The fourth proportional to 270.83, 374.25 and 221.69 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.83 : 374.25 = 221.69 : x
  2. Step 2: Convert to fraction form
    270.83/374.25 = 221.69/x
  3. Step 3: Cross multiply
    270.83x = 374.25 × 221.69
  4. Step 4: Simplify right side
    270.83x = 82,967.48
  5. Step 5: Solve for x
    x = 82,967.48/270.83
  6. Step 6: Final answer
    x = 306.35

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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.