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Finding the Fourth Proportional to 379.17, 566.21 and 297.09

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Solution

The fourth proportional to 379.17, 566.21 and 297.09 is: 443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.17 : 566.21 = 297.09 : x
  2. Step 2: Convert to fraction form
    379.17/566.21 = 297.09/x
  3. Step 3: Cross multiply
    379.17x = 566.21 × 297.09
  4. Step 4: Simplify right side
    379.17x = 168,215.33
  5. Step 5: Solve for x
    x = 168,215.33/379.17
  6. Step 6: Final answer
    x = 443.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.