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Finding the Fourth Proportional to 230.59, 318.19 and 137.33

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Solution

The fourth proportional to 230.59, 318.19 and 137.33 is: 189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.59 : 318.19 = 137.33 : x
  2. Step 2: Convert to fraction form
    230.59/318.19 = 137.33/x
  3. Step 3: Cross multiply
    230.59x = 318.19 × 137.33
  4. Step 4: Simplify right side
    230.59x = 43,697.03
  5. Step 5: Solve for x
    x = 43,697.03/230.59
  6. Step 6: Final answer
    x = 189.50

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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.