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Finding the Fourth Proportional to 922.18, 1,383.26 and 228.83

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Solution

The fourth proportional to 922.18, 1,383.26 and 228.83 is: 343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.18 : 1,383.26 = 228.83 : x
  2. Step 2: Convert to fraction form
    922.18/1,383.26 = 228.83/x
  3. Step 3: Cross multiply
    922.18x = 1,383.26 × 228.83
  4. Step 4: Simplify right side
    922.18x = 316,535.42
  5. Step 5: Solve for x
    x = 316,535.42/922.18
  6. Step 6: Final answer
    x = 343.25

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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.