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Finding the Fourth Proportional to 285.83, 426.70 and 255.07

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Solution

The fourth proportional to 285.83, 426.70 and 255.07 is: 380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.83 : 426.70 = 255.07 : x
  2. Step 2: Convert to fraction form
    285.83/426.70 = 255.07/x
  3. Step 3: Cross multiply
    285.83x = 426.70 × 255.07
  4. Step 4: Simplify right side
    285.83x = 108,838.37
  5. Step 5: Solve for x
    x = 108,838.37/285.83
  6. Step 6: Final answer
    x = 380.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.