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Finding the Fourth Proportional to 318.90, 475.49 and 316.06

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Solution

The fourth proportional to 318.90, 475.49 and 316.06 is: 471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.90 : 475.49 = 316.06 : x
  2. Step 2: Convert to fraction form
    318.90/475.49 = 316.06/x
  3. Step 3: Cross multiply
    318.90x = 475.49 × 316.06
  4. Step 4: Simplify right side
    318.90x = 150,283.37
  5. Step 5: Solve for x
    x = 150,283.37/318.90
  6. Step 6: Final answer
    x = 471.26

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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.