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Finding the Fourth Proportional to 105.60, 157.44 and 94.08

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Solution

The fourth proportional to 105.60, 157.44 and 94.08 is: 140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.60 : 157.44 = 94.08 : x
  2. Step 2: Convert to fraction form
    105.60/157.44 = 94.08/x
  3. Step 3: Cross multiply
    105.60x = 157.44 × 94.08
  4. Step 4: Simplify right side
    105.60x = 14,811.96
  5. Step 5: Solve for x
    x = 14,811.96/105.60
  6. Step 6: Final answer
    x = 140.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.