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Finding the Fourth Proportional to 805.94, 1,209.11 and 228.81

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Solution

The fourth proportional to 805.94, 1,209.11 and 228.81 is: 343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.94 : 1,209.11 = 228.81 : x
  2. Step 2: Convert to fraction form
    805.94/1,209.11 = 228.81/x
  3. Step 3: Cross multiply
    805.94x = 1,209.11 × 228.81
  4. Step 4: Simplify right side
    805.94x = 276,656.46
  5. Step 5: Solve for x
    x = 276,656.46/805.94
  6. Step 6: Final answer
    x = 343.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.