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Finding the Fourth Proportional to 307.96, 425.46 and 303.64

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Solution

The fourth proportional to 307.96, 425.46 and 303.64 is: 419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.96 : 425.46 = 303.64 : x
  2. Step 2: Convert to fraction form
    307.96/425.46 = 303.64/x
  3. Step 3: Cross multiply
    307.96x = 425.46 × 303.64
  4. Step 4: Simplify right side
    307.96x = 129,186.67
  5. Step 5: Solve for x
    x = 129,186.67/307.96
  6. Step 6: Final answer
    x = 419.49

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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.