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Finding the Fourth Proportional to 311.42, 466.68 and 208.10

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Solution

The fourth proportional to 311.42, 466.68 and 208.10 is: 311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.42 : 466.68 = 208.10 : x
  2. Step 2: Convert to fraction form
    311.42/466.68 = 208.10/x
  3. Step 3: Cross multiply
    311.42x = 466.68 × 208.10
  4. Step 4: Simplify right side
    311.42x = 97,116.11
  5. Step 5: Solve for x
    x = 97,116.11/311.42
  6. Step 6: Final answer
    x = 311.85

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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.