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Finding the Fourth Proportional to 298.98, 450.52 and 246.06

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Solution

The fourth proportional to 298.98, 450.52 and 246.06 is: 370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 450.52 = 246.06 : x
  2. Step 2: Convert to fraction form
    298.98/450.52 = 246.06/x
  3. Step 3: Cross multiply
    298.98x = 450.52 × 246.06
  4. Step 4: Simplify right side
    298.98x = 110,854.34
  5. Step 5: Solve for x
    x = 110,854.34/298.98
  6. Step 6: Final answer
    x = 370.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.