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Finding the Fourth Proportional to 255.50, 381.51 and 209.74

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Solution

The fourth proportional to 255.50, 381.51 and 209.74 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.50 : 381.51 = 209.74 : x
  2. Step 2: Convert to fraction form
    255.50/381.51 = 209.74/x
  3. Step 3: Cross multiply
    255.50x = 381.51 × 209.74
  4. Step 4: Simplify right side
    255.50x = 80,017.91
  5. Step 5: Solve for x
    x = 80,017.91/255.50
  6. Step 6: Final answer
    x = 313.18

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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.