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Finding the Fourth Proportional to 316.09, 435.77 and 211.20

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Solution

The fourth proportional to 316.09, 435.77 and 211.20 is: 291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.09 : 435.77 = 211.20 : x
  2. Step 2: Convert to fraction form
    316.09/435.77 = 211.20/x
  3. Step 3: Cross multiply
    316.09x = 435.77 × 211.20
  4. Step 4: Simplify right side
    316.09x = 92,034.62
  5. Step 5: Solve for x
    x = 92,034.62/316.09
  6. Step 6: Final answer
    x = 291.17

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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.