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Finding the Fourth Proportional to 146.84, 219.02 and 142.51

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Solution

The fourth proportional to 146.84, 219.02 and 142.51 is: 212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.84 : 219.02 = 142.51 : x
  2. Step 2: Convert to fraction form
    146.84/219.02 = 142.51/x
  3. Step 3: Cross multiply
    146.84x = 219.02 × 142.51
  4. Step 4: Simplify right side
    146.84x = 31,212.54
  5. Step 5: Solve for x
    x = 31,212.54/146.84
  6. Step 6: Final answer
    x = 212.56

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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.