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Finding the Fourth Proportional to 378.94, 565.91 and 330.34

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Solution

The fourth proportional to 378.94, 565.91 and 330.34 is: 493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.94 : 565.91 = 330.34 : x
  2. Step 2: Convert to fraction form
    378.94/565.91 = 330.34/x
  3. Step 3: Cross multiply
    378.94x = 565.91 × 330.34
  4. Step 4: Simplify right side
    378.94x = 186,942.71
  5. Step 5: Solve for x
    x = 186,942.71/378.94
  6. Step 6: Final answer
    x = 493.33

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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.