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Finding the Fourth Proportional to 229.82, 317.20 and 131.60

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Solution

The fourth proportional to 229.82, 317.20 and 131.60 is: 181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.82 : 317.20 = 131.60 : x
  2. Step 2: Convert to fraction form
    229.82/317.20 = 131.60/x
  3. Step 3: Cross multiply
    229.82x = 317.20 × 131.60
  4. Step 4: Simplify right side
    229.82x = 41,743.52
  5. Step 5: Solve for x
    x = 41,743.52/229.82
  6. Step 6: Final answer
    x = 181.64

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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.