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Finding the Fourth Proportional to 316.17, 436.23 and 199.71

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Solution

The fourth proportional to 316.17, 436.23 and 199.71 is: 275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.17 : 436.23 = 199.71 : x
  2. Step 2: Convert to fraction form
    316.17/436.23 = 199.71/x
  3. Step 3: Cross multiply
    316.17x = 436.23 × 199.71
  4. Step 4: Simplify right side
    316.17x = 87,119.49
  5. Step 5: Solve for x
    x = 87,119.49/316.17
  6. Step 6: Final answer
    x = 275.55

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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.