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Finding the Fourth Proportional to 435.26, 655.44 and 314.36

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Solution

The fourth proportional to 435.26, 655.44 and 314.36 is: 473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.26 : 655.44 = 314.36 : x
  2. Step 2: Convert to fraction form
    435.26/655.44 = 314.36/x
  3. Step 3: Cross multiply
    435.26x = 655.44 × 314.36
  4. Step 4: Simplify right side
    435.26x = 206,044.12
  5. Step 5: Solve for x
    x = 206,044.12/435.26
  6. Step 6: Final answer
    x = 473.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.