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Finding the Fourth Proportional to 255.10, 383.48 and 209.78

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Solution

The fourth proportional to 255.10, 383.48 and 209.78 is: 315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.10 : 383.48 = 209.78 : x
  2. Step 2: Convert to fraction form
    255.10/383.48 = 209.78/x
  3. Step 3: Cross multiply
    255.10x = 383.48 × 209.78
  4. Step 4: Simplify right side
    255.10x = 80,446.43
  5. Step 5: Solve for x
    x = 80,446.43/255.10
  6. Step 6: Final answer
    x = 315.35

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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.