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Finding the Fourth Proportional to 298.91, 446.49 and 237.87

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Solution

The fourth proportional to 298.91, 446.49 and 237.87 is: 355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.91 : 446.49 = 237.87 : x
  2. Step 2: Convert to fraction form
    298.91/446.49 = 237.87/x
  3. Step 3: Cross multiply
    298.91x = 446.49 × 237.87
  4. Step 4: Simplify right side
    298.91x = 106,206.58
  5. Step 5: Solve for x
    x = 106,206.58/298.91
  6. Step 6: Final answer
    x = 355.31

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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.