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Finding the Fourth Proportional to 919.26, 1,378.88 and 302.96

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Solution

The fourth proportional to 919.26, 1,378.88 and 302.96 is: 454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.26 : 1,378.88 = 302.96 : x
  2. Step 2: Convert to fraction form
    919.26/1,378.88 = 302.96/x
  3. Step 3: Cross multiply
    919.26x = 1,378.88 × 302.96
  4. Step 4: Simplify right side
    919.26x = 417,745.48
  5. Step 5: Solve for x
    x = 417,745.48/919.26
  6. Step 6: Final answer
    x = 454.44

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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.