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Finding the Fourth Proportional to 157.64, 217.75 and 121.25

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Solution

The fourth proportional to 157.64, 217.75 and 121.25 is: 167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.64 : 217.75 = 121.25 : x
  2. Step 2: Convert to fraction form
    157.64/217.75 = 121.25/x
  3. Step 3: Cross multiply
    157.64x = 217.75 × 121.25
  4. Step 4: Simplify right side
    157.64x = 26,400.49
  5. Step 5: Solve for x
    x = 26,400.49/157.64
  6. Step 6: Final answer
    x = 167.48

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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.