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Finding the Fourth Proportional to 318.80, 475.30 and 305.84

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Solution

The fourth proportional to 318.80, 475.30 and 305.84 is: 455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.80 : 475.30 = 305.84 : x
  2. Step 2: Convert to fraction form
    318.80/475.30 = 305.84/x
  3. Step 3: Cross multiply
    318.80x = 475.30 × 305.84
  4. Step 4: Simplify right side
    318.80x = 145,365.75
  5. Step 5: Solve for x
    x = 145,365.75/318.80
  6. Step 6: Final answer
    x = 455.98

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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.