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Finding the Fourth Proportional to 927.19, 1,390.38 and 277.78

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Solution

The fourth proportional to 927.19, 1,390.38 and 277.78 is: 416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.19 : 1,390.38 = 277.78 : x
  2. Step 2: Convert to fraction form
    927.19/1,390.38 = 277.78/x
  3. Step 3: Cross multiply
    927.19x = 1,390.38 × 277.78
  4. Step 4: Simplify right side
    927.19x = 386,212.80
  5. Step 5: Solve for x
    x = 386,212.80/927.19
  6. Step 6: Final answer
    x = 416.54

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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.