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Finding the Fourth Proportional to 298.98, 445.49 and 266.65

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Solution

The fourth proportional to 298.98, 445.49 and 266.65 is: 397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 445.49 = 266.65 : x
  2. Step 2: Convert to fraction form
    298.98/445.49 = 266.65/x
  3. Step 3: Cross multiply
    298.98x = 445.49 × 266.65
  4. Step 4: Simplify right side
    298.98x = 118,789.91
  5. Step 5: Solve for x
    x = 118,789.91/298.98
  6. Step 6: Final answer
    x = 397.32

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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.