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Finding the Fourth Proportional to 181.60, 273.61 and 157.30

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Solution

The fourth proportional to 181.60, 273.61 and 157.30 is: 237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.60 : 273.61 = 157.30 : x
  2. Step 2: Convert to fraction form
    181.60/273.61 = 157.30/x
  3. Step 3: Cross multiply
    181.60x = 273.61 × 157.30
  4. Step 4: Simplify right side
    181.60x = 43,038.85
  5. Step 5: Solve for x
    x = 43,038.85/181.60
  6. Step 6: Final answer
    x = 237.00

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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.