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Finding the Fourth Proportional to 302.25, 453.53 and 221.75

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Solution

The fourth proportional to 302.25, 453.53 and 221.75 is: 332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.25 : 453.53 = 221.75 : x
  2. Step 2: Convert to fraction form
    302.25/453.53 = 221.75/x
  3. Step 3: Cross multiply
    302.25x = 453.53 × 221.75
  4. Step 4: Simplify right side
    302.25x = 100,570.28
  5. Step 5: Solve for x
    x = 100,570.28/302.25
  6. Step 6: Final answer
    x = 332.74

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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.