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Finding the Fourth Proportional to 157.70, 217.70 and 105.28

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Solution

The fourth proportional to 157.70, 217.70 and 105.28 is: 145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.70 : 217.70 = 105.28 : x
  2. Step 2: Convert to fraction form
    157.70/217.70 = 105.28/x
  3. Step 3: Cross multiply
    157.70x = 217.70 × 105.28
  4. Step 4: Simplify right side
    157.70x = 22,918.63
  5. Step 5: Solve for x
    x = 22,918.63/157.70
  6. Step 6: Final answer
    x = 145.33

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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.