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Finding the Fourth Proportional to 316.98, 477.78 and 299.34

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Solution

The fourth proportional to 316.98, 477.78 and 299.34 is: 451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.98 : 477.78 = 299.34 : x
  2. Step 2: Convert to fraction form
    316.98/477.78 = 299.34/x
  3. Step 3: Cross multiply
    316.98x = 477.78 × 299.34
  4. Step 4: Simplify right side
    316.98x = 143,018.67
  5. Step 5: Solve for x
    x = 143,018.67/316.98
  6. Step 6: Final answer
    x = 451.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.