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Finding the Fourth Proportional to 105.60, 157.44 and 97.05

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Solution

The fourth proportional to 105.60, 157.44 and 97.05 is: 144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.60 : 157.44 = 97.05 : x
  2. Step 2: Convert to fraction form
    105.60/157.44 = 97.05/x
  3. Step 3: Cross multiply
    105.60x = 157.44 × 97.05
  4. Step 4: Simplify right side
    105.60x = 15,279.55
  5. Step 5: Solve for x
    x = 15,279.55/105.60
  6. Step 6: Final answer
    x = 144.69

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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.