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Finding the Fourth Proportional to 905.20, 1,357.59 and 255.98

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Solution

The fourth proportional to 905.20, 1,357.59 and 255.98 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.20 : 1,357.59 = 255.98 : x
  2. Step 2: Convert to fraction form
    905.20/1,357.59 = 255.98/x
  3. Step 3: Cross multiply
    905.20x = 1,357.59 × 255.98
  4. Step 4: Simplify right side
    905.20x = 347,519.28
  5. Step 5: Solve for x
    x = 347,519.28/905.20
  6. Step 6: Final answer
    x = 383.92

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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.