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Finding the Fourth Proportional to 223.16, 334.18 and 208.04

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Solution

The fourth proportional to 223.16, 334.18 and 208.04 is: 311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.16 : 334.18 = 208.04 : x
  2. Step 2: Convert to fraction form
    223.16/334.18 = 208.04/x
  3. Step 3: Cross multiply
    223.16x = 334.18 × 208.04
  4. Step 4: Simplify right side
    223.16x = 69,522.81
  5. Step 5: Solve for x
    x = 69,522.81/223.16
  6. Step 6: Final answer
    x = 311.54

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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.