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Finding the Fourth Proportional to 393.24, 543.28 and 300.30

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Solution

The fourth proportional to 393.24, 543.28 and 300.30 is: 414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.24 : 543.28 = 300.30 : x
  2. Step 2: Convert to fraction form
    393.24/543.28 = 300.30/x
  3. Step 3: Cross multiply
    393.24x = 543.28 × 300.30
  4. Step 4: Simplify right side
    393.24x = 163,146.98
  5. Step 5: Solve for x
    x = 163,146.98/393.24
  6. Step 6: Final answer
    x = 414.88

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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.