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Finding the Fourth Proportional to 612.77, 919.10 and 196.29

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Solution

The fourth proportional to 612.77, 919.10 and 196.29 is: 294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.77 : 919.10 = 196.29 : x
  2. Step 2: Convert to fraction form
    612.77/919.10 = 196.29/x
  3. Step 3: Cross multiply
    612.77x = 919.10 × 196.29
  4. Step 4: Simplify right side
    612.77x = 180,410.14
  5. Step 5: Solve for x
    x = 180,410.14/612.77
  6. Step 6: Final answer
    x = 294.42

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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.