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Finding the Fourth Proportional to 615.51, 922.67 and 204.44

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Solution

The fourth proportional to 615.51, 922.67 and 204.44 is: 306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.51 : 922.67 = 204.44 : x
  2. Step 2: Convert to fraction form
    615.51/922.67 = 204.44/x
  3. Step 3: Cross multiply
    615.51x = 922.67 × 204.44
  4. Step 4: Simplify right side
    615.51x = 188,625.02
  5. Step 5: Solve for x
    x = 188,625.02/615.51
  6. Step 6: Final answer
    x = 306.45

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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.