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Finding the Fourth Proportional to 102.09, 153.10 and 33.60

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Solution

The fourth proportional to 102.09, 153.10 and 33.60 is: 50.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.09 : 153.10 = 33.60 : x
  2. Step 2: Convert to fraction form
    102.09/153.10 = 33.60/x
  3. Step 3: Cross multiply
    102.09x = 153.10 × 33.60
  4. Step 4: Simplify right side
    102.09x = 5,144.16
  5. Step 5: Solve for x
    x = 5,144.16/102.09
  6. Step 6: Final answer
    x = 50.39

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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.