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Finding the Fourth Proportional to 157.78, 217.86 and 118.90

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Solution

The fourth proportional to 157.78, 217.86 and 118.90 is: 164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 217.86 = 118.90 : x
  2. Step 2: Convert to fraction form
    157.78/217.86 = 118.90/x
  3. Step 3: Cross multiply
    157.78x = 217.86 × 118.90
  4. Step 4: Simplify right side
    157.78x = 25,903.55
  5. Step 5: Solve for x
    x = 25,903.55/157.78
  6. Step 6: Final answer
    x = 164.18

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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.