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Finding the Fourth Proportional to 280.12, 418.30 and 228.87

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Solution

The fourth proportional to 280.12, 418.30 and 228.87 is: 341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.12 : 418.30 = 228.87 : x
  2. Step 2: Convert to fraction form
    280.12/418.30 = 228.87/x
  3. Step 3: Cross multiply
    280.12x = 418.30 × 228.87
  4. Step 4: Simplify right side
    280.12x = 95,733.09
  5. Step 5: Solve for x
    x = 95,733.09/280.12
  6. Step 6: Final answer
    x = 341.76

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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.