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Finding the Fourth Proportional to 297.76, 444.44 and 259.57

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Solution

The fourth proportional to 297.76, 444.44 and 259.57 is: 387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.76 : 444.44 = 259.57 : x
  2. Step 2: Convert to fraction form
    297.76/444.44 = 259.57/x
  3. Step 3: Cross multiply
    297.76x = 444.44 × 259.57
  4. Step 4: Simplify right side
    297.76x = 115,363.29
  5. Step 5: Solve for x
    x = 115,363.29/297.76
  6. Step 6: Final answer
    x = 387.44

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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.