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Finding the Fourth Proportional to 926.28, 1,389.24 and 309.96

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Solution

The fourth proportional to 926.28, 1,389.24 and 309.96 is: 464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.28 : 1,389.24 = 309.96 : x
  2. Step 2: Convert to fraction form
    926.28/1,389.24 = 309.96/x
  3. Step 3: Cross multiply
    926.28x = 1,389.24 × 309.96
  4. Step 4: Simplify right side
    926.28x = 430,608.83
  5. Step 5: Solve for x
    x = 430,608.83/926.28
  6. Step 6: Final answer
    x = 464.88

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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.