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Finding the Fourth Proportional to 286.90, 394.18 and 228.58

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Solution

The fourth proportional to 286.90, 394.18 and 228.58 is: 314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.90 : 394.18 = 228.58 : x
  2. Step 2: Convert to fraction form
    286.90/394.18 = 228.58/x
  3. Step 3: Cross multiply
    286.90x = 394.18 × 228.58
  4. Step 4: Simplify right side
    286.90x = 90,101.66
  5. Step 5: Solve for x
    x = 90,101.66/286.90
  6. Step 6: Final answer
    x = 314.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.