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Finding the Fourth Proportional to 418.71, 576.76 and 320.30

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Solution

The fourth proportional to 418.71, 576.76 and 320.30 is: 441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.71 : 576.76 = 320.30 : x
  2. Step 2: Convert to fraction form
    418.71/576.76 = 320.30/x
  3. Step 3: Cross multiply
    418.71x = 576.76 × 320.30
  4. Step 4: Simplify right side
    418.71x = 184,736.23
  5. Step 5: Solve for x
    x = 184,736.23/418.71
  6. Step 6: Final answer
    x = 441.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.