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Finding the Fourth Proportional to 310.67, 425.34 and 307.70

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Solution

The fourth proportional to 310.67, 425.34 and 307.70 is: 421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.67 : 425.34 = 307.70 : x
  2. Step 2: Convert to fraction form
    310.67/425.34 = 307.70/x
  3. Step 3: Cross multiply
    310.67x = 425.34 × 307.70
  4. Step 4: Simplify right side
    310.67x = 130,874.99
  5. Step 5: Solve for x
    x = 130,874.99/310.67
  6. Step 6: Final answer
    x = 421.27

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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.