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Finding the Fourth Proportional to 350.27, 524.86 and 221.75

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Solution

The fourth proportional to 350.27, 524.86 and 221.75 is: 332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.27 : 524.86 = 221.75 : x
  2. Step 2: Convert to fraction form
    350.27/524.86 = 221.75/x
  3. Step 3: Cross multiply
    350.27x = 524.86 × 221.75
  4. Step 4: Simplify right side
    350.27x = 116,387.71
  5. Step 5: Solve for x
    x = 116,387.71/350.27
  6. Step 6: Final answer
    x = 332.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.