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Finding the Fourth Proportional to 157.19, 216.97 and 105.44

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Solution

The fourth proportional to 157.19, 216.97 and 105.44 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.19 : 216.97 = 105.44 : x
  2. Step 2: Convert to fraction form
    157.19/216.97 = 105.44/x
  3. Step 3: Cross multiply
    157.19x = 216.97 × 105.44
  4. Step 4: Simplify right side
    157.19x = 22,877.32
  5. Step 5: Solve for x
    x = 22,877.32/157.19
  6. Step 6: Final answer
    x = 145.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.