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Finding the Fourth Proportional to 134.02, 201.88 and 113.65

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Solution

The fourth proportional to 134.02, 201.88 and 113.65 is: 171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.02 : 201.88 = 113.65 : x
  2. Step 2: Convert to fraction form
    134.02/201.88 = 113.65/x
  3. Step 3: Cross multiply
    134.02x = 201.88 × 113.65
  4. Step 4: Simplify right side
    134.02x = 22,943.66
  5. Step 5: Solve for x
    x = 22,943.66/134.02
  6. Step 6: Final answer
    x = 171.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.