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Finding the Fourth Proportional to 286.53, 395.43 and 188.58

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Solution

The fourth proportional to 286.53, 395.43 and 188.58 is: 260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.53 : 395.43 = 188.58 : x
  2. Step 2: Convert to fraction form
    286.53/395.43 = 188.58/x
  3. Step 3: Cross multiply
    286.53x = 395.43 × 188.58
  4. Step 4: Simplify right side
    286.53x = 74,570.19
  5. Step 5: Solve for x
    x = 74,570.19/286.53
  6. Step 6: Final answer
    x = 260.25

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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.