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Finding the Fourth Proportional to 148.01, 203.78 and 125.83

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Solution

The fourth proportional to 148.01, 203.78 and 125.83 is: 173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.01 : 203.78 = 125.83 : x
  2. Step 2: Convert to fraction form
    148.01/203.78 = 125.83/x
  3. Step 3: Cross multiply
    148.01x = 203.78 × 125.83
  4. Step 4: Simplify right side
    148.01x = 25,642.21
  5. Step 5: Solve for x
    x = 25,642.21/148.01
  6. Step 6: Final answer
    x = 173.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.