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Finding the Fourth Proportional to 157.64, 217.56 and 105.98

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Solution

The fourth proportional to 157.64, 217.56 and 105.98 is: 146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.64 : 217.56 = 105.98 : x
  2. Step 2: Convert to fraction form
    157.64/217.56 = 105.98/x
  3. Step 3: Cross multiply
    157.64x = 217.56 × 105.98
  4. Step 4: Simplify right side
    157.64x = 23,057.01
  5. Step 5: Solve for x
    x = 23,057.01/157.64
  6. Step 6: Final answer
    x = 146.26

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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.