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Finding the Fourth Proportional to 146.28, 220.98 and 144.93

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Solution

The fourth proportional to 146.28, 220.98 and 144.93 is: 218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.28 : 220.98 = 144.93 : x
  2. Step 2: Convert to fraction form
    146.28/220.98 = 144.93/x
  3. Step 3: Cross multiply
    146.28x = 220.98 × 144.93
  4. Step 4: Simplify right side
    146.28x = 32,026.63
  5. Step 5: Solve for x
    x = 32,026.63/146.28
  6. Step 6: Final answer
    x = 218.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.