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Finding the Fourth Proportional to 103.54, 154.05 and 97.78

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Solution

The fourth proportional to 103.54, 154.05 and 97.78 is: 145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.54 : 154.05 = 97.78 : x
  2. Step 2: Convert to fraction form
    103.54/154.05 = 97.78/x
  3. Step 3: Cross multiply
    103.54x = 154.05 × 97.78
  4. Step 4: Simplify right side
    103.54x = 15,063.01
  5. Step 5: Solve for x
    x = 15,063.01/103.54
  6. Step 6: Final answer
    x = 145.48

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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.