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Finding the Fourth Proportional to 384.09, 574.62 and 296.76

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Solution

The fourth proportional to 384.09, 574.62 and 296.76 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.09 : 574.62 = 296.76 : x
  2. Step 2: Convert to fraction form
    384.09/574.62 = 296.76/x
  3. Step 3: Cross multiply
    384.09x = 574.62 × 296.76
  4. Step 4: Simplify right side
    384.09x = 170,524.23
  5. Step 5: Solve for x
    x = 170,524.23/384.09
  6. Step 6: Final answer
    x = 443.97

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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.