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Finding the Fourth Proportional to 510.27, 704.28 and 323.99

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Solution

The fourth proportional to 510.27, 704.28 and 323.99 is: 447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.27 : 704.28 = 323.99 : x
  2. Step 2: Convert to fraction form
    510.27/704.28 = 323.99/x
  3. Step 3: Cross multiply
    510.27x = 704.28 × 323.99
  4. Step 4: Simplify right side
    510.27x = 228,174.54
  5. Step 5: Solve for x
    x = 228,174.54/510.27
  6. Step 6: Final answer
    x = 447.16

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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.