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Finding the Fourth Proportional to 311.05, 465.89 and 208.35

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Solution

The fourth proportional to 311.05, 465.89 and 208.35 is: 312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.05 : 465.89 = 208.35 : x
  2. Step 2: Convert to fraction form
    311.05/465.89 = 208.35/x
  3. Step 3: Cross multiply
    311.05x = 465.89 × 208.35
  4. Step 4: Simplify right side
    311.05x = 97,068.18
  5. Step 5: Solve for x
    x = 97,068.18/311.05
  6. Step 6: Final answer
    x = 312.07

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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.