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Finding the Fourth Proportional to 157.70, 237.42 and 121.79

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Solution

The fourth proportional to 157.70, 237.42 and 121.79 is: 183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.70 : 237.42 = 121.79 : x
  2. Step 2: Convert to fraction form
    157.70/237.42 = 121.79/x
  3. Step 3: Cross multiply
    157.70x = 237.42 × 121.79
  4. Step 4: Simplify right side
    157.70x = 28,915.38
  5. Step 5: Solve for x
    x = 28,915.38/157.70
  6. Step 6: Final answer
    x = 183.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.