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Finding the Fourth Proportional to 333.09, 497.66 and 317.97

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Solution

The fourth proportional to 333.09, 497.66 and 317.97 is: 475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.09 : 497.66 = 317.97 : x
  2. Step 2: Convert to fraction form
    333.09/497.66 = 317.97/x
  3. Step 3: Cross multiply
    333.09x = 497.66 × 317.97
  4. Step 4: Simplify right side
    333.09x = 158,239.36
  5. Step 5: Solve for x
    x = 158,239.36/333.09
  6. Step 6: Final answer
    x = 475.06

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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.