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Finding the Fourth Proportional to 254.23, 379.61 and 208.66

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Solution

The fourth proportional to 254.23, 379.61 and 208.66 is: 311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.23 : 379.61 = 208.66 : x
  2. Step 2: Convert to fraction form
    254.23/379.61 = 208.66/x
  3. Step 3: Cross multiply
    254.23x = 379.61 × 208.66
  4. Step 4: Simplify right side
    254.23x = 79,209.42
  5. Step 5: Solve for x
    x = 79,209.42/254.23
  6. Step 6: Final answer
    x = 311.57

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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.