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Finding the Fourth Proportional to 102.74, 154.13 and 30.60

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Solution

The fourth proportional to 102.74, 154.13 and 30.60 is: 45.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.74 : 154.13 = 30.60 : x
  2. Step 2: Convert to fraction form
    102.74/154.13 = 30.60/x
  3. Step 3: Cross multiply
    102.74x = 154.13 × 30.60
  4. Step 4: Simplify right side
    102.74x = 4,716.38
  5. Step 5: Solve for x
    x = 4,716.38/102.74
  6. Step 6: Final answer
    x = 45.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.