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Finding the Fourth Proportional to 333.97, 461.34 and 316.45

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Solution

The fourth proportional to 333.97, 461.34 and 316.45 is: 437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.97 : 461.34 = 316.45 : x
  2. Step 2: Convert to fraction form
    333.97/461.34 = 316.45/x
  3. Step 3: Cross multiply
    333.97x = 461.34 × 316.45
  4. Step 4: Simplify right side
    333.97x = 145,990.25
  5. Step 5: Solve for x
    x = 145,990.25/333.97
  6. Step 6: Final answer
    x = 437.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.