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Finding the Fourth Proportional to 146.09, 201.51 and 93.65

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Solution

The fourth proportional to 146.09, 201.51 and 93.65 is: 129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.09 : 201.51 = 93.65 : x
  2. Step 2: Convert to fraction form
    146.09/201.51 = 93.65/x
  3. Step 3: Cross multiply
    146.09x = 201.51 × 93.65
  4. Step 4: Simplify right side
    146.09x = 18,871.41
  5. Step 5: Solve for x
    x = 18,871.41/146.09
  6. Step 6: Final answer
    x = 129.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.