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Finding the Fourth Proportional to 231.81, 320.34 and 183.08

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Solution

The fourth proportional to 231.81, 320.34 and 183.08 is: 252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.81 : 320.34 = 183.08 : x
  2. Step 2: Convert to fraction form
    231.81/320.34 = 183.08/x
  3. Step 3: Cross multiply
    231.81x = 320.34 × 183.08
  4. Step 4: Simplify right side
    231.81x = 58,646.25
  5. Step 5: Solve for x
    x = 58,646.25/231.81
  6. Step 6: Final answer
    x = 252.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.