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Finding the Fourth Proportional to 135.62, 203.54 and 101.00

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Solution

The fourth proportional to 135.62, 203.54 and 101.00 is: 151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.62 : 203.54 = 101.00 : x
  2. Step 2: Convert to fraction form
    135.62/203.54 = 101.00/x
  3. Step 3: Cross multiply
    135.62x = 203.54 × 101.00
  4. Step 4: Simplify right side
    135.62x = 20,558.11
  5. Step 5: Solve for x
    x = 20,558.11/135.62
  6. Step 6: Final answer
    x = 151.58

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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.