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Finding the Fourth Proportional to 927.20, 1,390.98 and 310.96

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Solution

The fourth proportional to 927.20, 1,390.98 and 310.96 is: 466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.20 : 1,390.98 = 310.96 : x
  2. Step 2: Convert to fraction form
    927.20/1,390.98 = 310.96/x
  3. Step 3: Cross multiply
    927.20x = 1,390.98 × 310.96
  4. Step 4: Simplify right side
    927.20x = 432,539.14
  5. Step 5: Solve for x
    x = 432,539.14/927.20
  6. Step 6: Final answer
    x = 466.50

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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.