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Finding the Fourth Proportional to 204.88, 307.31 and 102.15

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Solution

The fourth proportional to 204.88, 307.31 and 102.15 is: 153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.88 : 307.31 = 102.15 : x
  2. Step 2: Convert to fraction form
    204.88/307.31 = 102.15/x
  3. Step 3: Cross multiply
    204.88x = 307.31 × 102.15
  4. Step 4: Simplify right side
    204.88x = 31,391.72
  5. Step 5: Solve for x
    x = 31,391.72/204.88
  6. Step 6: Final answer
    x = 153.22

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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.