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Finding the Fourth Proportional to 279.53, 417.41 and 228.27

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Solution

The fourth proportional to 279.53, 417.41 and 228.27 is: 340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.53 : 417.41 = 228.27 : x
  2. Step 2: Convert to fraction form
    279.53/417.41 = 228.27/x
  3. Step 3: Cross multiply
    279.53x = 417.41 × 228.27
  4. Step 4: Simplify right side
    279.53x = 95,282.18
  5. Step 5: Solve for x
    x = 95,282.18/279.53
  6. Step 6: Final answer
    x = 340.87

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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.