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Finding the Fourth Proportional to 318.22, 474.73 and 290.98

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Solution

The fourth proportional to 318.22, 474.73 and 290.98 is: 434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.22 : 474.73 = 290.98 : x
  2. Step 2: Convert to fraction form
    318.22/474.73 = 290.98/x
  3. Step 3: Cross multiply
    318.22x = 474.73 × 290.98
  4. Step 4: Simplify right side
    318.22x = 138,136.94
  5. Step 5: Solve for x
    x = 138,136.94/318.22
  6. Step 6: Final answer
    x = 434.09

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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.