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Finding the Fourth Proportional to 316.22, 435.44 and 309.03

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Solution

The fourth proportional to 316.22, 435.44 and 309.03 is: 425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.22 : 435.44 = 309.03 : x
  2. Step 2: Convert to fraction form
    316.22/435.44 = 309.03/x
  3. Step 3: Cross multiply
    316.22x = 435.44 × 309.03
  4. Step 4: Simplify right side
    316.22x = 134,564.02
  5. Step 5: Solve for x
    x = 134,564.02/316.22
  6. Step 6: Final answer
    x = 425.54

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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.