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Finding the Fourth Proportional to 318.03, 474.45 and 309.21

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Solution

The fourth proportional to 318.03, 474.45 and 309.21 is: 461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.03 : 474.45 = 309.21 : x
  2. Step 2: Convert to fraction form
    318.03/474.45 = 309.21/x
  3. Step 3: Cross multiply
    318.03x = 474.45 × 309.21
  4. Step 4: Simplify right side
    318.03x = 146,704.68
  5. Step 5: Solve for x
    x = 146,704.68/318.03
  6. Step 6: Final answer
    x = 461.29

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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.