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Finding the Fourth Proportional to 318.02, 476.34 and 195.90

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Solution

The fourth proportional to 318.02, 476.34 and 195.90 is: 293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.02 : 476.34 = 195.90 : x
  2. Step 2: Convert to fraction form
    318.02/476.34 = 195.90/x
  3. Step 3: Cross multiply
    318.02x = 476.34 × 195.90
  4. Step 4: Simplify right side
    318.02x = 93,315.01
  5. Step 5: Solve for x
    x = 93,315.01/318.02
  6. Step 6: Final answer
    x = 293.42

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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.