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Finding the Fourth Proportional to 393.68, 543.24 and 320.08

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Solution

The fourth proportional to 393.68, 543.24 and 320.08 is: 441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.68 : 543.24 = 320.08 : x
  2. Step 2: Convert to fraction form
    393.68/543.24 = 320.08/x
  3. Step 3: Cross multiply
    393.68x = 543.24 × 320.08
  4. Step 4: Simplify right side
    393.68x = 173,880.26
  5. Step 5: Solve for x
    x = 173,880.26/393.68
  6. Step 6: Final answer
    x = 441.68

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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.