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Finding the Fourth Proportional to 157.76, 217.73 and 118.88

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Solution

The fourth proportional to 157.76, 217.73 and 118.88 is: 164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.76 : 217.73 = 118.88 : x
  2. Step 2: Convert to fraction form
    157.76/217.73 = 118.88/x
  3. Step 3: Cross multiply
    157.76x = 217.73 × 118.88
  4. Step 4: Simplify right side
    157.76x = 25,883.74
  5. Step 5: Solve for x
    x = 25,883.74/157.76
  6. Step 6: Final answer
    x = 164.07

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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.