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Finding the Fourth Proportional to 289.71, 400.32 and 237.11

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Solution

The fourth proportional to 289.71, 400.32 and 237.11 is: 327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.71 : 400.32 = 237.11 : x
  2. Step 2: Convert to fraction form
    289.71/400.32 = 237.11/x
  3. Step 3: Cross multiply
    289.71x = 400.32 × 237.11
  4. Step 4: Simplify right side
    289.71x = 94,917.87
  5. Step 5: Solve for x
    x = 94,917.87/289.71
  6. Step 6: Final answer
    x = 327.63

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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.