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Finding the Fourth Proportional to 615.75, 923.79 and 205

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Solution

The fourth proportional to 615.75, 923.79 and 205 is: 307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.75 : 923.79 = 205 : x
  2. Step 2: Convert to fraction form
    615.75/923.79 = 205/x
  3. Step 3: Cross multiply
    615.75x = 923.79 × 205
  4. Step 4: Simplify right side
    615.75x = 189,376.95
  5. Step 5: Solve for x
    x = 189,376.95/615.75
  6. Step 6: Final answer
    x = 307.55

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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.