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Finding the Fourth Proportional to 254.56, 383.58 and 209.91

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Solution

The fourth proportional to 254.56, 383.58 and 209.91 is: 316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.56 : 383.58 = 209.91 : x
  2. Step 2: Convert to fraction form
    254.56/383.58 = 209.91/x
  3. Step 3: Cross multiply
    254.56x = 383.58 × 209.91
  4. Step 4: Simplify right side
    254.56x = 80,514.31
  5. Step 5: Solve for x
    x = 80,514.31/254.56
  6. Step 6: Final answer
    x = 316.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.