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Finding the Fourth Proportional to 146.53, 218.65 and 133.59

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Solution

The fourth proportional to 146.53, 218.65 and 133.59 is: 199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.53 : 218.65 = 133.59 : x
  2. Step 2: Convert to fraction form
    146.53/218.65 = 133.59/x
  3. Step 3: Cross multiply
    146.53x = 218.65 × 133.59
  4. Step 4: Simplify right side
    146.53x = 29,209.45
  5. Step 5: Solve for x
    x = 29,209.45/146.53
  6. Step 6: Final answer
    x = 199.34

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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.