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Finding the Fourth Proportional to 425.09, 637.83 and 208.64

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Solution

The fourth proportional to 425.09, 637.83 and 208.64 is: 313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.09 : 637.83 = 208.64 : x
  2. Step 2: Convert to fraction form
    425.09/637.83 = 208.64/x
  3. Step 3: Cross multiply
    425.09x = 637.83 × 208.64
  4. Step 4: Simplify right side
    425.09x = 133,073.66
  5. Step 5: Solve for x
    x = 133,073.66/425.09
  6. Step 6: Final answer
    x = 313.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.