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Finding the Fourth Proportional to 905.24, 1,357.84 and 255.98

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Solution

The fourth proportional to 905.24, 1,357.84 and 255.98 is: 383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.24 : 1,357.84 = 255.98 : x
  2. Step 2: Convert to fraction form
    905.24/1,357.84 = 255.98/x
  3. Step 3: Cross multiply
    905.24x = 1,357.84 × 255.98
  4. Step 4: Simplify right side
    905.24x = 347,571.81
  5. Step 5: Solve for x
    x = 347,571.81/905.24
  6. Step 6: Final answer
    x = 383.96

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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.