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Finding the Fourth Proportional to 135.76, 203.36 and 103.68

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Solution

The fourth proportional to 135.76, 203.36 and 103.68 is: 155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.76 : 203.36 = 103.68 : x
  2. Step 2: Convert to fraction form
    135.76/203.36 = 103.68/x
  3. Step 3: Cross multiply
    135.76x = 203.36 × 103.68
  4. Step 4: Simplify right side
    135.76x = 21,084.36
  5. Step 5: Solve for x
    x = 21,084.36/135.76
  6. Step 6: Final answer
    x = 155.31

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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.