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Finding the Fourth Proportional to 379.46, 567.84 and 297.74

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Solution

The fourth proportional to 379.46, 567.84 and 297.74 is: 445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.46 : 567.84 = 297.74 : x
  2. Step 2: Convert to fraction form
    379.46/567.84 = 297.74/x
  3. Step 3: Cross multiply
    379.46x = 567.84 × 297.74
  4. Step 4: Simplify right side
    379.46x = 169,068.68
  5. Step 5: Solve for x
    x = 169,068.68/379.46
  6. Step 6: Final answer
    x = 445.55

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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.