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Finding the Fourth Proportional to 482.12, 723.18 and 311

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Solution

The fourth proportional to 482.12, 723.18 and 311 is: 466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.12 : 723.18 = 311 : x
  2. Step 2: Convert to fraction form
    482.12/723.18 = 311/x
  3. Step 3: Cross multiply
    482.12x = 723.18 × 311
  4. Step 4: Simplify right side
    482.12x = 224,908.98
  5. Step 5: Solve for x
    x = 224,908.98/482.12
  6. Step 6: Final answer
    x = 466.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.