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Finding the Fourth Proportional to 146.19, 201.73 and 87.19

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Solution

The fourth proportional to 146.19, 201.73 and 87.19 is: 120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.19 : 201.73 = 87.19 : x
  2. Step 2: Convert to fraction form
    146.19/201.73 = 87.19/x
  3. Step 3: Cross multiply
    146.19x = 201.73 × 87.19
  4. Step 4: Simplify right side
    146.19x = 17,588.84
  5. Step 5: Solve for x
    x = 17,588.84/146.19
  6. Step 6: Final answer
    x = 120.31

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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.