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Finding the Fourth Proportional to 280.64, 419.06 and 225.56

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Solution

The fourth proportional to 280.64, 419.06 and 225.56 is: 336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.64 : 419.06 = 225.56 : x
  2. Step 2: Convert to fraction form
    280.64/419.06 = 225.56/x
  3. Step 3: Cross multiply
    280.64x = 419.06 × 225.56
  4. Step 4: Simplify right side
    280.64x = 94,523.17
  5. Step 5: Solve for x
    x = 94,523.17/280.64
  6. Step 6: Final answer
    x = 336.81

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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.