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Finding the Fourth Proportional to 146.19, 218.22 and 135.33

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Solution

The fourth proportional to 146.19, 218.22 and 135.33 is: 202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.19 : 218.22 = 135.33 : x
  2. Step 2: Convert to fraction form
    146.19/218.22 = 135.33/x
  3. Step 3: Cross multiply
    146.19x = 218.22 × 135.33
  4. Step 4: Simplify right side
    146.19x = 29,531.71
  5. Step 5: Solve for x
    x = 29,531.71/146.19
  6. Step 6: Final answer
    x = 202.01

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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.