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Finding the Fourth Proportional to 316.23, 436.17 and 211.47

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Solution

The fourth proportional to 316.23, 436.17 and 211.47 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.23 : 436.17 = 211.47 : x
  2. Step 2: Convert to fraction form
    316.23/436.17 = 211.47/x
  3. Step 3: Cross multiply
    316.23x = 436.17 × 211.47
  4. Step 4: Simplify right side
    316.23x = 92,236.87
  5. Step 5: Solve for x
    x = 92,236.87/316.23
  6. Step 6: Final answer
    x = 291.68

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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.