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Finding the Fourth Proportional to 105.21, 157.80 and 35.79

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Solution

The fourth proportional to 105.21, 157.80 and 35.79 is: 53.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.21 : 157.80 = 35.79 : x
  2. Step 2: Convert to fraction form
    105.21/157.80 = 35.79/x
  3. Step 3: Cross multiply
    105.21x = 157.80 × 35.79
  4. Step 4: Simplify right side
    105.21x = 5,647.84
  5. Step 5: Solve for x
    x = 5,647.84/105.21
  6. Step 6: Final answer
    x = 53.68

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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.