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Finding the Fourth Proportional to 103.40, 154.99 and 94.94

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Solution

The fourth proportional to 103.40, 154.99 and 94.94 is: 142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.40 : 154.99 = 94.94 : x
  2. Step 2: Convert to fraction form
    103.40/154.99 = 94.94/x
  3. Step 3: Cross multiply
    103.40x = 154.99 × 94.94
  4. Step 4: Simplify right side
    103.40x = 14,714.75
  5. Step 5: Solve for x
    x = 14,714.75/103.40
  6. Step 6: Final answer
    x = 142.31

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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.