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Finding the Fourth Proportional to 310.70, 425.99 and 305.16

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Solution

The fourth proportional to 310.70, 425.99 and 305.16 is: 418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.70 : 425.99 = 305.16 : x
  2. Step 2: Convert to fraction form
    310.70/425.99 = 305.16/x
  3. Step 3: Cross multiply
    310.70x = 425.99 × 305.16
  4. Step 4: Simplify right side
    310.70x = 129,993.58
  5. Step 5: Solve for x
    x = 129,993.58/310.70
  6. Step 6: Final answer
    x = 418.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.