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Finding the Fourth Proportional to 323.63, 482.01 and 314.97

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Solution

The fourth proportional to 323.63, 482.01 and 314.97 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.63 : 482.01 = 314.97 : x
  2. Step 2: Convert to fraction form
    323.63/482.01 = 314.97/x
  3. Step 3: Cross multiply
    323.63x = 482.01 × 314.97
  4. Step 4: Simplify right side
    323.63x = 151,818.69
  5. Step 5: Solve for x
    x = 151,818.69/323.63
  6. Step 6: Final answer
    x = 469.12

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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.