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Finding the Fourth Proportional to 379.68, 566.76 and 328.68

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Solution

The fourth proportional to 379.68, 566.76 and 328.68 is: 490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.68 : 566.76 = 328.68 : x
  2. Step 2: Convert to fraction form
    379.68/566.76 = 328.68/x
  3. Step 3: Cross multiply
    379.68x = 566.76 × 328.68
  4. Step 4: Simplify right side
    379.68x = 186,282.68
  5. Step 5: Solve for x
    x = 186,282.68/379.68
  6. Step 6: Final answer
    x = 490.63

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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.