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Finding the Fourth Proportional to 435.15, 655.23 and 314.25

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Solution

The fourth proportional to 435.15, 655.23 and 314.25 is: 473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.15 : 655.23 = 314.25 : x
  2. Step 2: Convert to fraction form
    435.15/655.23 = 314.25/x
  3. Step 3: Cross multiply
    435.15x = 655.23 × 314.25
  4. Step 4: Simplify right side
    435.15x = 205,906.03
  5. Step 5: Solve for x
    x = 205,906.03/435.15
  6. Step 6: Final answer
    x = 473.18

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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.