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Finding the Fourth Proportional to 333, 497.25 and 271.98

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Solution

The fourth proportional to 333, 497.25 and 271.98 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    333 : 497.25 = 271.98 : x
  2. Step 2: Convert to fraction form
    333/497.25 = 271.98/x
  3. Step 3: Cross multiply
    333x = 497.25 × 271.98
  4. Step 4: Simplify right side
    333x = 135,242.06
  5. Step 5: Solve for x
    x = 135,242.06/333
  6. Step 6: Final answer
    x = 406.13

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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.