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Finding the Fourth Proportional to 316.40, 436.78 and 211.70

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Solution

The fourth proportional to 316.40, 436.78 and 211.70 is: 292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.40 : 436.78 = 211.70 : x
  2. Step 2: Convert to fraction form
    316.40/436.78 = 211.70/x
  3. Step 3: Cross multiply
    316.40x = 436.78 × 211.70
  4. Step 4: Simplify right side
    316.40x = 92,466.33
  5. Step 5: Solve for x
    x = 92,466.33/316.40
  6. Step 6: Final answer
    x = 292.25

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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.