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Finding the Fourth Proportional to 289.80, 400.08 and 211.13

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Solution

The fourth proportional to 289.80, 400.08 and 211.13 is: 291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.80 : 400.08 = 211.13 : x
  2. Step 2: Convert to fraction form
    289.80/400.08 = 211.13/x
  3. Step 3: Cross multiply
    289.80x = 400.08 × 211.13
  4. Step 4: Simplify right side
    289.80x = 84,466.89
  5. Step 5: Solve for x
    x = 84,466.89/289.80
  6. Step 6: Final answer
    x = 291.47

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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.