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Finding the Fourth Proportional to 208.64, 311.18 and 190.42

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Solution

The fourth proportional to 208.64, 311.18 and 190.42 is: 283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 311.18 = 190.42 : x
  2. Step 2: Convert to fraction form
    208.64/311.18 = 190.42/x
  3. Step 3: Cross multiply
    208.64x = 311.18 × 190.42
  4. Step 4: Simplify right side
    208.64x = 59,253.17
  5. Step 5: Solve for x
    x = 59,253.17/208.64
  6. Step 6: Final answer
    x = 283.99

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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.