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Finding the Fourth Proportional to 208.64, 289.29 and 197.70

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Solution

The fourth proportional to 208.64, 289.29 and 197.70 is: 274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 289.29 = 197.70 : x
  2. Step 2: Convert to fraction form
    208.64/289.29 = 197.70/x
  3. Step 3: Cross multiply
    208.64x = 289.29 × 197.70
  4. Step 4: Simplify right side
    208.64x = 57,192.63
  5. Step 5: Solve for x
    x = 57,192.63/208.64
  6. Step 6: Final answer
    x = 274.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.