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Finding the Fourth Proportional to 387.94, 580.02 and 330.84

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Solution

The fourth proportional to 387.94, 580.02 and 330.84 is: 494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.94 : 580.02 = 330.84 : x
  2. Step 2: Convert to fraction form
    387.94/580.02 = 330.84/x
  3. Step 3: Cross multiply
    387.94x = 580.02 × 330.84
  4. Step 4: Simplify right side
    387.94x = 191,893.82
  5. Step 5: Solve for x
    x = 191,893.82/387.94
  6. Step 6: Final answer
    x = 494.65

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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.