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Finding the Fourth Proportional to 135.37, 202.75 and 102.71

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Solution

The fourth proportional to 135.37, 202.75 and 102.71 is: 153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.37 : 202.75 = 102.71 : x
  2. Step 2: Convert to fraction form
    135.37/202.75 = 102.71/x
  3. Step 3: Cross multiply
    135.37x = 202.75 × 102.71
  4. Step 4: Simplify right side
    135.37x = 20,823.94
  5. Step 5: Solve for x
    x = 20,823.94/135.37
  6. Step 6: Final answer
    x = 153.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.