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Finding the Fourth Proportional to 289.93, 400.43 and 211.60

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Solution

The fourth proportional to 289.93, 400.43 and 211.60 is: 292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.93 : 400.43 = 211.60 : x
  2. Step 2: Convert to fraction form
    289.93/400.43 = 211.60/x
  3. Step 3: Cross multiply
    289.93x = 400.43 × 211.60
  4. Step 4: Simplify right side
    289.93x = 84,730.99
  5. Step 5: Solve for x
    x = 84,730.99/289.93
  6. Step 6: Final answer
    x = 292.25

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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.