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Finding the Fourth Proportional to 105.08, 158.50 and 101.84

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Solution

The fourth proportional to 105.08, 158.50 and 101.84 is: 153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.08 : 158.50 = 101.84 : x
  2. Step 2: Convert to fraction form
    105.08/158.50 = 101.84/x
  3. Step 3: Cross multiply
    105.08x = 158.50 × 101.84
  4. Step 4: Simplify right side
    105.08x = 16,141.64
  5. Step 5: Solve for x
    x = 16,141.64/105.08
  6. Step 6: Final answer
    x = 153.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.