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Finding the Fourth Proportional to 148.94, 205.07 and 126.76

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Solution

The fourth proportional to 148.94, 205.07 and 126.76 is: 174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.94 : 205.07 = 126.76 : x
  2. Step 2: Convert to fraction form
    148.94/205.07 = 126.76/x
  3. Step 3: Cross multiply
    148.94x = 205.07 × 126.76
  4. Step 4: Simplify right side
    148.94x = 25,994.04
  5. Step 5: Solve for x
    x = 25,994.04/148.94
  6. Step 6: Final answer
    x = 174.53

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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.