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Finding the Fourth Proportional to 103.15, 154.07 and 77.33

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Solution

The fourth proportional to 103.15, 154.07 and 77.33 is: 115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.15 : 154.07 = 77.33 : x
  2. Step 2: Convert to fraction form
    103.15/154.07 = 77.33/x
  3. Step 3: Cross multiply
    103.15x = 154.07 × 77.33
  4. Step 4: Simplify right side
    103.15x = 11,914.81
  5. Step 5: Solve for x
    x = 11,914.81/103.15
  6. Step 6: Final answer
    x = 115.51

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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.