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Finding the Fourth Proportional to 354.17, 486.86 and 316.43

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Solution

The fourth proportional to 354.17, 486.86 and 316.43 is: 434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.17 : 486.86 = 316.43 : x
  2. Step 2: Convert to fraction form
    354.17/486.86 = 316.43/x
  3. Step 3: Cross multiply
    354.17x = 486.86 × 316.43
  4. Step 4: Simplify right side
    354.17x = 154,053.88
  5. Step 5: Solve for x
    x = 154,053.88/354.17
  6. Step 6: Final answer
    x = 434.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.