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Finding the Fourth Proportional to 102.28, 153.42 and 94.46

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Solution

The fourth proportional to 102.28, 153.42 and 94.46 is: 141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.28 : 153.42 = 94.46 : x
  2. Step 2: Convert to fraction form
    102.28/153.42 = 94.46/x
  3. Step 3: Cross multiply
    102.28x = 153.42 × 94.46
  4. Step 4: Simplify right side
    102.28x = 14,492.05
  5. Step 5: Solve for x
    x = 14,492.05/102.28
  6. Step 6: Final answer
    x = 141.69

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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.