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Finding the Fourth Proportional to 228.90, 316.41 and 208.65

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Solution

The fourth proportional to 228.90, 316.41 and 208.65 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.90 : 316.41 = 208.65 : x
  2. Step 2: Convert to fraction form
    228.90/316.41 = 208.65/x
  3. Step 3: Cross multiply
    228.90x = 316.41 × 208.65
  4. Step 4: Simplify right side
    228.90x = 66,018.95
  5. Step 5: Solve for x
    x = 66,018.95/228.90
  6. Step 6: Final answer
    x = 288.42

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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.