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Finding the Fourth Proportional to 298.49, 446.78 and 287.15

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Solution

The fourth proportional to 298.49, 446.78 and 287.15 is: 429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.49 : 446.78 = 287.15 : x
  2. Step 2: Convert to fraction form
    298.49/446.78 = 287.15/x
  3. Step 3: Cross multiply
    298.49x = 446.78 × 287.15
  4. Step 4: Simplify right side
    298.49x = 128,289.21
  5. Step 5: Solve for x
    x = 128,289.21/298.49
  6. Step 6: Final answer
    x = 429.80

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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.