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Finding the Fourth Proportional to 927.09, 1,390.38 and 268.95

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Solution

The fourth proportional to 927.09, 1,390.38 and 268.95 is: 403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.09 : 1,390.38 = 268.95 : x
  2. Step 2: Convert to fraction form
    927.09/1,390.38 = 268.95/x
  3. Step 3: Cross multiply
    927.09x = 1,390.38 × 268.95
  4. Step 4: Simplify right side
    927.09x = 373,942.70
  5. Step 5: Solve for x
    x = 373,942.70/927.09
  6. Step 6: Final answer
    x = 403.35

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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.