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Finding the Fourth Proportional to 280.78, 422.85 and 245.14

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Solution

The fourth proportional to 280.78, 422.85 and 245.14 is: 369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.78 : 422.85 = 245.14 : x
  2. Step 2: Convert to fraction form
    280.78/422.85 = 245.14/x
  3. Step 3: Cross multiply
    280.78x = 422.85 × 245.14
  4. Step 4: Simplify right side
    280.78x = 103,657.45
  5. Step 5: Solve for x
    x = 103,657.45/280.78
  6. Step 6: Final answer
    x = 369.18

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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.