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Finding the Fourth Proportional to 280.50, 418.61 and 245.88

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Solution

The fourth proportional to 280.50, 418.61 and 245.88 is: 366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.50 : 418.61 = 245.88 : x
  2. Step 2: Convert to fraction form
    280.50/418.61 = 245.88/x
  3. Step 3: Cross multiply
    280.50x = 418.61 × 245.88
  4. Step 4: Simplify right side
    280.50x = 102,926.60
  5. Step 5: Solve for x
    x = 102,926.60/280.50
  6. Step 6: Final answer
    x = 366.94

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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.