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Finding the Fourth Proportional to 146.40, 202.14 and 102.80

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Solution

The fourth proportional to 146.40, 202.14 and 102.80 is: 141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.40 : 202.14 = 102.80 : x
  2. Step 2: Convert to fraction form
    146.40/202.14 = 102.80/x
  3. Step 3: Cross multiply
    146.40x = 202.14 × 102.80
  4. Step 4: Simplify right side
    146.40x = 20,778.98
  5. Step 5: Solve for x
    x = 20,778.98/146.40
  6. Step 6: Final answer
    x = 141.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.