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Finding the Fourth Proportional to 612.81, 919.29 and 222.77

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Solution

The fourth proportional to 612.81, 919.29 and 222.77 is: 334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.81 : 919.29 = 222.77 : x
  2. Step 2: Convert to fraction form
    612.81/919.29 = 222.77/x
  3. Step 3: Cross multiply
    612.81x = 919.29 × 222.77
  4. Step 4: Simplify right side
    612.81x = 204,790.23
  5. Step 5: Solve for x
    x = 204,790.23/612.81
  6. Step 6: Final answer
    x = 334.18

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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.