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Finding the Fourth Proportional to 301.78, 452.67 and 109.30

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Solution

The fourth proportional to 301.78, 452.67 and 109.30 is: 163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 452.67 = 109.30 : x
  2. Step 2: Convert to fraction form
    301.78/452.67 = 109.30/x
  3. Step 3: Cross multiply
    301.78x = 452.67 × 109.30
  4. Step 4: Simplify right side
    301.78x = 49,476.83
  5. Step 5: Solve for x
    x = 49,476.83/301.78
  6. Step 6: Final answer
    x = 163.95

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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.