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Finding the Fourth Proportional to 255.80, 383.07 and 210.26

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Solution

The fourth proportional to 255.80, 383.07 and 210.26 is: 314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.80 : 383.07 = 210.26 : x
  2. Step 2: Convert to fraction form
    255.80/383.07 = 210.26/x
  3. Step 3: Cross multiply
    255.80x = 383.07 × 210.26
  4. Step 4: Simplify right side
    255.80x = 80,544.30
  5. Step 5: Solve for x
    x = 80,544.30/255.80
  6. Step 6: Final answer
    x = 314.87

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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.