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Finding the Fourth Proportional to 157.83, 236.43 and 103.65

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Solution

The fourth proportional to 157.83, 236.43 and 103.65 is: 155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.83 : 236.43 = 103.65 : x
  2. Step 2: Convert to fraction form
    157.83/236.43 = 103.65/x
  3. Step 3: Cross multiply
    157.83x = 236.43 × 103.65
  4. Step 4: Simplify right side
    157.83x = 24,505.97
  5. Step 5: Solve for x
    x = 24,505.97/157.83
  6. Step 6: Final answer
    x = 155.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.