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Finding the Fourth Proportional to 146.81, 219.96 and 101.01

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Solution

The fourth proportional to 146.81, 219.96 and 101.01 is: 151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 219.96 = 101.01 : x
  2. Step 2: Convert to fraction form
    146.81/219.96 = 101.01/x
  3. Step 3: Cross multiply
    146.81x = 219.96 × 101.01
  4. Step 4: Simplify right side
    146.81x = 22,218.16
  5. Step 5: Solve for x
    x = 22,218.16/146.81
  6. Step 6: Final answer
    x = 151.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.