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Finding the Fourth Proportional to 298.50, 445.17 and 277.98

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Solution

The fourth proportional to 298.50, 445.17 and 277.98 is: 414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.50 : 445.17 = 277.98 : x
  2. Step 2: Convert to fraction form
    298.50/445.17 = 277.98/x
  3. Step 3: Cross multiply
    298.50x = 445.17 × 277.98
  4. Step 4: Simplify right side
    298.50x = 123,748.36
  5. Step 5: Solve for x
    x = 123,748.36/298.50
  6. Step 6: Final answer
    x = 414.57

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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.