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Finding the Fourth Proportional to 103.84, 155.94 and 90.14

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Solution

The fourth proportional to 103.84, 155.94 and 90.14 is: 135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 155.94 = 90.14 : x
  2. Step 2: Convert to fraction form
    103.84/155.94 = 90.14/x
  3. Step 3: Cross multiply
    103.84x = 155.94 × 90.14
  4. Step 4: Simplify right side
    103.84x = 14,056.43
  5. Step 5: Solve for x
    x = 14,056.43/103.84
  6. Step 6: Final answer
    x = 135.37

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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.