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Finding the Fourth Proportional to 146.81, 201.30 and 141.65

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Solution

The fourth proportional to 146.81, 201.30 and 141.65 is: 194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 201.30 = 141.65 : x
  2. Step 2: Convert to fraction form
    146.81/201.30 = 141.65/x
  3. Step 3: Cross multiply
    146.81x = 201.30 × 141.65
  4. Step 4: Simplify right side
    146.81x = 28,515.18
  5. Step 5: Solve for x
    x = 28,515.18/146.81
  6. Step 6: Final answer
    x = 194.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.