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Finding the Fourth Proportional to 905.03, 1,357.55 and 255.77

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Solution

The fourth proportional to 905.03, 1,357.55 and 255.77 is: 383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.03 : 1,357.55 = 255.77 : x
  2. Step 2: Convert to fraction form
    905.03/1,357.55 = 255.77/x
  3. Step 3: Cross multiply
    905.03x = 1,357.55 × 255.77
  4. Step 4: Simplify right side
    905.03x = 347,220.56
  5. Step 5: Solve for x
    x = 347,220.56/905.03
  6. Step 6: Final answer
    x = 383.66

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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.