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Finding the Fourth Proportional to 157.09, 216.67 and 136.33

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Solution

The fourth proportional to 157.09, 216.67 and 136.33 is: 188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.09 : 216.67 = 136.33 : x
  2. Step 2: Convert to fraction form
    157.09/216.67 = 136.33/x
  3. Step 3: Cross multiply
    157.09x = 216.67 × 136.33
  4. Step 4: Simplify right side
    157.09x = 29,537.74
  5. Step 5: Solve for x
    x = 29,537.74/157.09
  6. Step 6: Final answer
    x = 188.03

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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.