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Finding the Fourth Proportional to 614.99, 922.66 and 204.39

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Solution

The fourth proportional to 614.99, 922.66 and 204.39 is: 306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.99 : 922.66 = 204.39 : x
  2. Step 2: Convert to fraction form
    614.99/922.66 = 204.39/x
  3. Step 3: Cross multiply
    614.99x = 922.66 × 204.39
  4. Step 4: Simplify right side
    614.99x = 188,581.97
  5. Step 5: Solve for x
    x = 188,581.97/614.99
  6. Step 6: Final answer
    x = 306.64

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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.