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Finding the Fourth Proportional to 119.77, 178.79 and 103.63

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Solution

The fourth proportional to 119.77, 178.79 and 103.63 is: 154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.77 : 178.79 = 103.63 : x
  2. Step 2: Convert to fraction form
    119.77/178.79 = 103.63/x
  3. Step 3: Cross multiply
    119.77x = 178.79 × 103.63
  4. Step 4: Simplify right side
    119.77x = 18,528.01
  5. Step 5: Solve for x
    x = 18,528.01/119.77
  6. Step 6: Final answer
    x = 154.70

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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.