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Finding the Fourth Proportional to 146.27, 201.93 and 115.29

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Solution

The fourth proportional to 146.27, 201.93 and 115.29 is: 159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.27 : 201.93 = 115.29 : x
  2. Step 2: Convert to fraction form
    146.27/201.93 = 115.29/x
  3. Step 3: Cross multiply
    146.27x = 201.93 × 115.29
  4. Step 4: Simplify right side
    146.27x = 23,280.51
  5. Step 5: Solve for x
    x = 23,280.51/146.27
  6. Step 6: Final answer
    x = 159.16

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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.