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Finding the Fourth Proportional to 298.80, 445.50 and 277.74

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Solution

The fourth proportional to 298.80, 445.50 and 277.74 is: 414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.80 : 445.50 = 277.74 : x
  2. Step 2: Convert to fraction form
    298.80/445.50 = 277.74/x
  3. Step 3: Cross multiply
    298.80x = 445.50 × 277.74
  4. Step 4: Simplify right side
    298.80x = 123,733.17
  5. Step 5: Solve for x
    x = 123,733.17/298.80
  6. Step 6: Final answer
    x = 414.10

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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.