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Finding the Fourth Proportional to 298.82, 446.27 and 259.48

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Solution

The fourth proportional to 298.82, 446.27 and 259.48 is: 387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.82 : 446.27 = 259.48 : x
  2. Step 2: Convert to fraction form
    298.82/446.27 = 259.48/x
  3. Step 3: Cross multiply
    298.82x = 446.27 × 259.48
  4. Step 4: Simplify right side
    298.82x = 115,798.86
  5. Step 5: Solve for x
    x = 115,798.86/298.82
  6. Step 6: Final answer
    x = 387.52

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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.