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Finding the Fourth Proportional to 290.23, 434.86 and 232.13

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Solution

The fourth proportional to 290.23, 434.86 and 232.13 is: 347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.23 : 434.86 = 232.13 : x
  2. Step 2: Convert to fraction form
    290.23/434.86 = 232.13/x
  3. Step 3: Cross multiply
    290.23x = 434.86 × 232.13
  4. Step 4: Simplify right side
    290.23x = 100,944.56
  5. Step 5: Solve for x
    x = 100,944.56/290.23
  6. Step 6: Final answer
    x = 347.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.