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Finding the Fourth Proportional to 302.58, 454.29 and 221.88

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Solution

The fourth proportional to 302.58, 454.29 and 221.88 is: 333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.58 : 454.29 = 221.88 : x
  2. Step 2: Convert to fraction form
    302.58/454.29 = 221.88/x
  3. Step 3: Cross multiply
    302.58x = 454.29 × 221.88
  4. Step 4: Simplify right side
    302.58x = 100,797.87
  5. Step 5: Solve for x
    x = 100,797.87/302.58
  6. Step 6: Final answer
    x = 333.13

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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.