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Finding the Fourth Proportional to 254.50, 380.02 and 208.74

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Solution

The fourth proportional to 254.50, 380.02 and 208.74 is: 311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.50 : 380.02 = 208.74 : x
  2. Step 2: Convert to fraction form
    254.50/380.02 = 208.74/x
  3. Step 3: Cross multiply
    254.50x = 380.02 × 208.74
  4. Step 4: Simplify right side
    254.50x = 79,325.37
  5. Step 5: Solve for x
    x = 79,325.37/254.50
  6. Step 6: Final answer
    x = 311.69

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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.