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Finding the Fourth Proportional to 234.64, 350.59 and 198.19

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Solution

The fourth proportional to 234.64, 350.59 and 198.19 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.64 : 350.59 = 198.19 : x
  2. Step 2: Convert to fraction form
    234.64/350.59 = 198.19/x
  3. Step 3: Cross multiply
    234.64x = 350.59 × 198.19
  4. Step 4: Simplify right side
    234.64x = 69,482.06
  5. Step 5: Solve for x
    x = 69,482.06/234.64
  6. Step 6: Final answer
    x = 296.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.