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Finding the Fourth Proportional to 318, 477.03 and 281.78

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Solution

The fourth proportional to 318, 477.03 and 281.78 is: 422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    318 : 477.03 = 281.78 : x
  2. Step 2: Convert to fraction form
    318/477.03 = 281.78/x
  3. Step 3: Cross multiply
    318x = 477.03 × 281.78
  4. Step 4: Simplify right side
    318x = 134,415.13
  5. Step 5: Solve for x
    x = 134,415.13/318
  6. Step 6: Final answer
    x = 422.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.