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Finding the Fourth Proportional to 146.52, 218.80 and 138

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Solution

The fourth proportional to 146.52, 218.80 and 138 is: 206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.52 : 218.80 = 138 : x
  2. Step 2: Convert to fraction form
    146.52/218.80 = 138/x
  3. Step 3: Cross multiply
    146.52x = 218.80 × 138
  4. Step 4: Simplify right side
    146.52x = 30,194.40
  5. Step 5: Solve for x
    x = 30,194.40/146.52
  6. Step 6: Final answer
    x = 206.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.