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Finding the Fourth Proportional to 677.28, 1,015.30 and 244.34

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Solution

The fourth proportional to 677.28, 1,015.30 and 244.34 is: 366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.28 : 1,015.30 = 244.34 : x
  2. Step 2: Convert to fraction form
    677.28/1,015.30 = 244.34/x
  3. Step 3: Cross multiply
    677.28x = 1,015.30 × 244.34
  4. Step 4: Simplify right side
    677.28x = 248,078.40
  5. Step 5: Solve for x
    x = 248,078.40/677.28
  6. Step 6: Final answer
    x = 366.29

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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.