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Finding the Fourth Proportional to 103.63, 154.45 and 97.71

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Solution

The fourth proportional to 103.63, 154.45 and 97.71 is: 145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.63 : 154.45 = 97.71 : x
  2. Step 2: Convert to fraction form
    103.63/154.45 = 97.71/x
  3. Step 3: Cross multiply
    103.63x = 154.45 × 97.71
  4. Step 4: Simplify right side
    103.63x = 15,091.31
  5. Step 5: Solve for x
    x = 15,091.31/103.63
  6. Step 6: Final answer
    x = 145.63

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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.