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Finding the Fourth Proportional to 210.68, 289 and 208.76

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Solution

The fourth proportional to 210.68, 289 and 208.76 is: 286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.68 : 289 = 208.76 : x
  2. Step 2: Convert to fraction form
    210.68/289 = 208.76/x
  3. Step 3: Cross multiply
    210.68x = 289 × 208.76
  4. Step 4: Simplify right side
    210.68x = 60,331.64
  5. Step 5: Solve for x
    x = 60,331.64/210.68
  6. Step 6: Final answer
    x = 286.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.