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Finding the Fourth Proportional to 105.40, 146.29 and 102.76

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Solution

The fourth proportional to 105.40, 146.29 and 102.76 is: 142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.40 : 146.29 = 102.76 : x
  2. Step 2: Convert to fraction form
    105.40/146.29 = 102.76/x
  3. Step 3: Cross multiply
    105.40x = 146.29 × 102.76
  4. Step 4: Simplify right side
    105.40x = 15,032.76
  5. Step 5: Solve for x
    x = 15,032.76/105.40
  6. Step 6: Final answer
    x = 142.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.