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Finding the Fourth Proportional to 922.31, 1,383.54 and 264.19

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Solution

The fourth proportional to 922.31, 1,383.54 and 264.19 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.31 : 1,383.54 = 264.19 : x
  2. Step 2: Convert to fraction form
    922.31/1,383.54 = 264.19/x
  3. Step 3: Cross multiply
    922.31x = 1,383.54 × 264.19
  4. Step 4: Simplify right side
    922.31x = 365,517.43
  5. Step 5: Solve for x
    x = 365,517.43/922.31
  6. Step 6: Final answer
    x = 396.31

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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.