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Finding the Fourth Proportional to 316.82, 472.92 and 300.98

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Solution

The fourth proportional to 316.82, 472.92 and 300.98 is: 449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.82 : 472.92 = 300.98 : x
  2. Step 2: Convert to fraction form
    316.82/472.92 = 300.98/x
  3. Step 3: Cross multiply
    316.82x = 472.92 × 300.98
  4. Step 4: Simplify right side
    316.82x = 142,339.46
  5. Step 5: Solve for x
    x = 142,339.46/316.82
  6. Step 6: Final answer
    x = 449.28

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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.