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Finding the Fourth Proportional to 287.32, 396.40 and 189.14

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Solution

The fourth proportional to 287.32, 396.40 and 189.14 is: 260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.32 : 396.40 = 189.14 : x
  2. Step 2: Convert to fraction form
    287.32/396.40 = 189.14/x
  3. Step 3: Cross multiply
    287.32x = 396.40 × 189.14
  4. Step 4: Simplify right side
    287.32x = 74,975.10
  5. Step 5: Solve for x
    x = 74,975.10/287.32
  6. Step 6: Final answer
    x = 260.95

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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.