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Finding the Fourth Proportional to 146.31, 217.89 and 145.56

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Solution

The fourth proportional to 146.31, 217.89 and 145.56 is: 216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 217.89 = 145.56 : x
  2. Step 2: Convert to fraction form
    146.31/217.89 = 145.56/x
  3. Step 3: Cross multiply
    146.31x = 217.89 × 145.56
  4. Step 4: Simplify right side
    146.31x = 31,716.07
  5. Step 5: Solve for x
    x = 31,716.07/146.31
  6. Step 6: Final answer
    x = 216.77

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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.