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Finding the Fourth Proportional to 287, 396.15 and 189.02

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Solution

The fourth proportional to 287, 396.15 and 189.02 is: 260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287 : 396.15 = 189.02 : x
  2. Step 2: Convert to fraction form
    287/396.15 = 189.02/x
  3. Step 3: Cross multiply
    287x = 396.15 × 189.02
  4. Step 4: Simplify right side
    287x = 74,880.27
  5. Step 5: Solve for x
    x = 74,880.27/287
  6. Step 6: Final answer
    x = 260.91

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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.