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Finding the Fourth Proportional to 207.17, 284.04 and 203.99

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Solution

The fourth proportional to 207.17, 284.04 and 203.99 is: 279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.17 : 284.04 = 203.99 : x
  2. Step 2: Convert to fraction form
    207.17/284.04 = 203.99/x
  3. Step 3: Cross multiply
    207.17x = 284.04 × 203.99
  4. Step 4: Simplify right side
    207.17x = 57,939.90
  5. Step 5: Solve for x
    x = 57,939.90/207.17
  6. Step 6: Final answer
    x = 279.67

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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.