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Finding the Fourth Proportional to 333.18, 496.83 and 310.10

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Solution

The fourth proportional to 333.18, 496.83 and 310.10 is: 462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.18 : 496.83 = 310.10 : x
  2. Step 2: Convert to fraction form
    333.18/496.83 = 310.10/x
  3. Step 3: Cross multiply
    333.18x = 496.83 × 310.10
  4. Step 4: Simplify right side
    333.18x = 154,065.66
  5. Step 5: Solve for x
    x = 154,065.66/333.18
  6. Step 6: Final answer
    x = 462.41

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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.