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Finding the Fourth Proportional to 102.82, 154.22 and 51.45

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Solution

The fourth proportional to 102.82, 154.22 and 51.45 is: 77.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 154.22 = 51.45 : x
  2. Step 2: Convert to fraction form
    102.82/154.22 = 51.45/x
  3. Step 3: Cross multiply
    102.82x = 154.22 × 51.45
  4. Step 4: Simplify right side
    102.82x = 7,934.36
  5. Step 5: Solve for x
    x = 7,934.36/102.82
  6. Step 6: Final answer
    x = 77.17

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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.