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Finding the Fourth Proportional to 333.82, 503.47 and 330.18

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Solution

The fourth proportional to 333.82, 503.47 and 330.18 is: 497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.82 : 503.47 = 330.18 : x
  2. Step 2: Convert to fraction form
    333.82/503.47 = 330.18/x
  3. Step 3: Cross multiply
    333.82x = 503.47 × 330.18
  4. Step 4: Simplify right side
    333.82x = 166,234.07
  5. Step 5: Solve for x
    x = 166,234.07/333.82
  6. Step 6: Final answer
    x = 497.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.