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Finding the Fourth Proportional to 327.61, 488.13 and 307.09

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Solution

The fourth proportional to 327.61, 488.13 and 307.09 is: 457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.61 : 488.13 = 307.09 : x
  2. Step 2: Convert to fraction form
    327.61/488.13 = 307.09/x
  3. Step 3: Cross multiply
    327.61x = 488.13 × 307.09
  4. Step 4: Simplify right side
    327.61x = 149,899.84
  5. Step 5: Solve for x
    x = 149,899.84/327.61
  6. Step 6: Final answer
    x = 457.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.