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Finding the Fourth Proportional to 302.91, 454.46 and 193.11

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Solution

The fourth proportional to 302.91, 454.46 and 193.11 is: 289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.91 : 454.46 = 193.11 : x
  2. Step 2: Convert to fraction form
    302.91/454.46 = 193.11/x
  3. Step 3: Cross multiply
    302.91x = 454.46 × 193.11
  4. Step 4: Simplify right side
    302.91x = 87,759.81
  5. Step 5: Solve for x
    x = 87,759.81/302.91
  6. Step 6: Final answer
    x = 289.72

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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.