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Finding the Fourth Proportional to 105.28, 157.62 and 79.48

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Solution

The fourth proportional to 105.28, 157.62 and 79.48 is: 118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.28 : 157.62 = 79.48 : x
  2. Step 2: Convert to fraction form
    105.28/157.62 = 79.48/x
  3. Step 3: Cross multiply
    105.28x = 157.62 × 79.48
  4. Step 4: Simplify right side
    105.28x = 12,527.64
  5. Step 5: Solve for x
    x = 12,527.64/105.28
  6. Step 6: Final answer
    x = 118.99

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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.