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Finding the Fourth Proportional to 615.38, 923.06 and 159.38

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Solution

The fourth proportional to 615.38, 923.06 and 159.38 is: 239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.38 : 923.06 = 159.38 : x
  2. Step 2: Convert to fraction form
    615.38/923.06 = 159.38/x
  3. Step 3: Cross multiply
    615.38x = 923.06 × 159.38
  4. Step 4: Simplify right side
    615.38x = 147,117.30
  5. Step 5: Solve for x
    x = 147,117.30/615.38
  6. Step 6: Final answer
    x = 239.07

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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.