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Finding the Fourth Proportional to 208.09, 313.19 and 157

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Solution

The fourth proportional to 208.09, 313.19 and 157 is: 236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.09 : 313.19 = 157 : x
  2. Step 2: Convert to fraction form
    208.09/313.19 = 157/x
  3. Step 3: Cross multiply
    208.09x = 313.19 × 157
  4. Step 4: Simplify right side
    208.09x = 49,170.83
  5. Step 5: Solve for x
    x = 49,170.83/208.09
  6. Step 6: Final answer
    x = 236.30

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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.