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Finding the Fourth Proportional to 842.33, 1,263.49 and 257.33

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Solution

The fourth proportional to 842.33, 1,263.49 and 257.33 is: 385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.33 : 1,263.49 = 257.33 : x
  2. Step 2: Convert to fraction form
    842.33/1,263.49 = 257.33/x
  3. Step 3: Cross multiply
    842.33x = 1,263.49 × 257.33
  4. Step 4: Simplify right side
    842.33x = 325,127.56
  5. Step 5: Solve for x
    x = 325,127.56/842.33
  6. Step 6: Final answer
    x = 385.99

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Why These Related Problems?

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