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Finding the Fourth Proportional to 157.40, 217.08 and 108.28

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Solution

The fourth proportional to 157.40, 217.08 and 108.28 is: 149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.40 : 217.08 = 108.28 : x
  2. Step 2: Convert to fraction form
    157.40/217.08 = 108.28/x
  3. Step 3: Cross multiply
    157.40x = 217.08 × 108.28
  4. Step 4: Simplify right side
    157.40x = 23,505.42
  5. Step 5: Solve for x
    x = 23,505.42/157.40
  6. Step 6: Final answer
    x = 149.34

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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.