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Finding the Fourth Proportional to 207.09, 284.45 and 197.24

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Solution

The fourth proportional to 207.09, 284.45 and 197.24 is: 270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.09 : 284.45 = 197.24 : x
  2. Step 2: Convert to fraction form
    207.09/284.45 = 197.24/x
  3. Step 3: Cross multiply
    207.09x = 284.45 × 197.24
  4. Step 4: Simplify right side
    207.09x = 56,102.51
  5. Step 5: Solve for x
    x = 56,102.51/207.09
  6. Step 6: Final answer
    x = 270.91

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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.