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Finding the Fourth Proportional to 146.16, 217.71 and 144.27

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Solution

The fourth proportional to 146.16, 217.71 and 144.27 is: 214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 217.71 = 144.27 : x
  2. Step 2: Convert to fraction form
    146.16/217.71 = 144.27/x
  3. Step 3: Cross multiply
    146.16x = 217.71 × 144.27
  4. Step 4: Simplify right side
    146.16x = 31,409.02
  5. Step 5: Solve for x
    x = 31,409.02/146.16
  6. Step 6: Final answer
    x = 214.89

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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.