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Finding the Fourth Proportional to 612.92, 919.36 and 266.22

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Solution

The fourth proportional to 612.92, 919.36 and 266.22 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.92 : 919.36 = 266.22 : x
  2. Step 2: Convert to fraction form
    612.92/919.36 = 266.22/x
  3. Step 3: Cross multiply
    612.92x = 919.36 × 266.22
  4. Step 4: Simplify right side
    612.92x = 244,752.02
  5. Step 5: Solve for x
    x = 244,752.02/612.92
  6. Step 6: Final answer
    x = 399.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.