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Finding the Fourth Proportional to 212.74, 289.78 and 208.72

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Solution

The fourth proportional to 212.74, 289.78 and 208.72 is: 284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.74 : 289.78 = 208.72 : x
  2. Step 2: Convert to fraction form
    212.74/289.78 = 208.72/x
  3. Step 3: Cross multiply
    212.74x = 289.78 × 208.72
  4. Step 4: Simplify right side
    212.74x = 60,482.88
  5. Step 5: Solve for x
    x = 60,482.88/212.74
  6. Step 6: Final answer
    x = 284.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.