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Finding the Fourth Proportional to 316.31, 436.62 and 306.05

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Solution

The fourth proportional to 316.31, 436.62 and 306.05 is: 422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.31 : 436.62 = 306.05 : x
  2. Step 2: Convert to fraction form
    316.31/436.62 = 306.05/x
  3. Step 3: Cross multiply
    316.31x = 436.62 × 306.05
  4. Step 4: Simplify right side
    316.31x = 133,627.55
  5. Step 5: Solve for x
    x = 133,627.55/316.31
  6. Step 6: Final answer
    x = 422.46

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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.