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Finding the Fourth Proportional to 333.06, 496.66 and 309.98

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Solution

The fourth proportional to 333.06, 496.66 and 309.98 is: 462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.06 : 496.66 = 309.98 : x
  2. Step 2: Convert to fraction form
    333.06/496.66 = 309.98/x
  3. Step 3: Cross multiply
    333.06x = 496.66 × 309.98
  4. Step 4: Simplify right side
    333.06x = 153,954.67
  5. Step 5: Solve for x
    x = 153,954.67/333.06
  6. Step 6: Final answer
    x = 462.24

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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.