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Finding the Fourth Proportional to 289.99, 399.69 and 211.30

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Solution

The fourth proportional to 289.99, 399.69 and 211.30 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.99 : 399.69 = 211.30 : x
  2. Step 2: Convert to fraction form
    289.99/399.69 = 211.30/x
  3. Step 3: Cross multiply
    289.99x = 399.69 × 211.30
  4. Step 4: Simplify right side
    289.99x = 84,454.50
  5. Step 5: Solve for x
    x = 84,454.50/289.99
  6. Step 6: Final answer
    x = 291.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.