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Finding the Fourth Proportional to 157.71, 217.70 and 108.01

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Solution

The fourth proportional to 157.71, 217.70 and 108.01 is: 149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.71 : 217.70 = 108.01 : x
  2. Step 2: Convert to fraction form
    157.71/217.70 = 108.01/x
  3. Step 3: Cross multiply
    157.71x = 217.70 × 108.01
  4. Step 4: Simplify right side
    157.71x = 23,512.69
  5. Step 5: Solve for x
    x = 23,512.69/157.71
  6. Step 6: Final answer
    x = 149.09

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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.