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Finding the Fourth Proportional to 618.98, 928.66 and 229.16

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Solution

The fourth proportional to 618.98, 928.66 and 229.16 is: 343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.98 : 928.66 = 229.16 : x
  2. Step 2: Convert to fraction form
    618.98/928.66 = 229.16/x
  3. Step 3: Cross multiply
    618.98x = 928.66 × 229.16
  4. Step 4: Simplify right side
    618.98x = 212,811.73
  5. Step 5: Solve for x
    x = 212,811.73/618.98
  6. Step 6: Final answer
    x = 343.81

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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.