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Finding the Fourth Proportional to 157.39, 236.99 and 137.34

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Solution

The fourth proportional to 157.39, 236.99 and 137.34 is: 206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.39 : 236.99 = 137.34 : x
  2. Step 2: Convert to fraction form
    157.39/236.99 = 137.34/x
  3. Step 3: Cross multiply
    157.39x = 236.99 × 137.34
  4. Step 4: Simplify right side
    157.39x = 32,548.55
  5. Step 5: Solve for x
    x = 32,548.55/157.39
  6. Step 6: Final answer
    x = 206.81

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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.