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Finding the Fourth Proportional to 615.78, 923.08 and 225.69

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Solution

The fourth proportional to 615.78, 923.08 and 225.69 is: 338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.78 : 923.08 = 225.69 : x
  2. Step 2: Convert to fraction form
    615.78/923.08 = 225.69/x
  3. Step 3: Cross multiply
    615.78x = 923.08 × 225.69
  4. Step 4: Simplify right side
    615.78x = 208,329.93
  5. Step 5: Solve for x
    x = 208,329.93/615.78
  6. Step 6: Final answer
    x = 338.32

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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.