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Finding the Fourth Proportional to 287.05, 396.17 and 189.00

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Solution

The fourth proportional to 287.05, 396.17 and 189.00 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.05 : 396.17 = 189.00 : x
  2. Step 2: Convert to fraction form
    287.05/396.17 = 189.00/x
  3. Step 3: Cross multiply
    287.05x = 396.17 × 189.00
  4. Step 4: Simplify right side
    287.05x = 74,877.38
  5. Step 5: Solve for x
    x = 74,877.38/287.05
  6. Step 6: Final answer
    x = 260.85

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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.