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Finding the Fourth Proportional to 135.03, 201.57 and 115.65

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Solution

The fourth proportional to 135.03, 201.57 and 115.65 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.03 : 201.57 = 115.65 : x
  2. Step 2: Convert to fraction form
    135.03/201.57 = 115.65/x
  3. Step 3: Cross multiply
    135.03x = 201.57 × 115.65
  4. Step 4: Simplify right side
    135.03x = 23,311.57
  5. Step 5: Solve for x
    x = 23,311.57/135.03
  6. Step 6: Final answer
    x = 172.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.