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Finding the Fourth Proportional to 181.98, 251.37 and 157.86

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Solution

The fourth proportional to 181.98, 251.37 and 157.86 is: 218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 251.37 = 157.86 : x
  2. Step 2: Convert to fraction form
    181.98/251.37 = 157.86/x
  3. Step 3: Cross multiply
    181.98x = 251.37 × 157.86
  4. Step 4: Simplify right side
    181.98x = 39,681.27
  5. Step 5: Solve for x
    x = 39,681.27/181.98
  6. Step 6: Final answer
    x = 218.05

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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.