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Finding the Fourth Proportional to 318, 473.82 and 299.37

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Solution

The fourth proportional to 318, 473.82 and 299.37 is: 446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318 : 473.82 = 299.37 : x
  2. Step 2: Convert to fraction form
    318/473.82 = 299.37/x
  3. Step 3: Cross multiply
    318x = 473.82 × 299.37
  4. Step 4: Simplify right side
    318x = 141,847.49
  5. Step 5: Solve for x
    x = 141,847.49/318
  6. Step 6: Final answer
    x = 446.06

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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.