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Finding the Fourth Proportional to 255.23, 383.19 and 209.16

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Solution

The fourth proportional to 255.23, 383.19 and 209.16 is: 314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.23 : 383.19 = 209.16 : x
  2. Step 2: Convert to fraction form
    255.23/383.19 = 209.16/x
  3. Step 3: Cross multiply
    255.23x = 383.19 × 209.16
  4. Step 4: Simplify right side
    255.23x = 80,148.02
  5. Step 5: Solve for x
    x = 80,148.02/255.23
  6. Step 6: Final answer
    x = 314.03

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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.