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Finding the Fourth Proportional to 146.66, 199.68 and 146.20

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Solution

The fourth proportional to 146.66, 199.68 and 146.20 is: 199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.66 : 199.68 = 146.20 : x
  2. Step 2: Convert to fraction form
    146.66/199.68 = 146.20/x
  3. Step 3: Cross multiply
    146.66x = 199.68 × 146.20
  4. Step 4: Simplify right side
    146.66x = 29,192.54
  5. Step 5: Solve for x
    x = 29,192.54/146.66
  6. Step 6: Final answer
    x = 199.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.