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Finding the Fourth Proportional to 105.63, 157.44 and 97.41

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Solution

The fourth proportional to 105.63, 157.44 and 97.41 is: 145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.63 : 157.44 = 97.41 : x
  2. Step 2: Convert to fraction form
    105.63/157.44 = 97.41/x
  3. Step 3: Cross multiply
    105.63x = 157.44 × 97.41
  4. Step 4: Simplify right side
    105.63x = 15,336.23
  5. Step 5: Solve for x
    x = 15,336.23/105.63
  6. Step 6: Final answer
    x = 145.19

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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.