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Finding the Fourth Proportional to 259.33, 357.44 and 189.33

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Solution

The fourth proportional to 259.33, 357.44 and 189.33 is: 260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.33 : 357.44 = 189.33 : x
  2. Step 2: Convert to fraction form
    259.33/357.44 = 189.33/x
  3. Step 3: Cross multiply
    259.33x = 357.44 × 189.33
  4. Step 4: Simplify right side
    259.33x = 67,672.33
  5. Step 5: Solve for x
    x = 67,672.33/259.33
  6. Step 6: Final answer
    x = 260.96

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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.