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Finding the Fourth Proportional to 136.53, 203.94 and 102.11

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Solution

The fourth proportional to 136.53, 203.94 and 102.11 is: 152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.53 : 203.94 = 102.11 : x
  2. Step 2: Convert to fraction form
    136.53/203.94 = 102.11/x
  3. Step 3: Cross multiply
    136.53x = 203.94 × 102.11
  4. Step 4: Simplify right side
    136.53x = 20,823.29
  5. Step 5: Solve for x
    x = 20,823.29/136.53
  6. Step 6: Final answer
    x = 152.52

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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.