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Finding the Fourth Proportional to 477.03, 658.22 and 319.89

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Solution

The fourth proportional to 477.03, 658.22 and 319.89 is: 441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.03 : 658.22 = 319.89 : x
  2. Step 2: Convert to fraction form
    477.03/658.22 = 319.89/x
  3. Step 3: Cross multiply
    477.03x = 658.22 × 319.89
  4. Step 4: Simplify right side
    477.03x = 210,556.40
  5. Step 5: Solve for x
    x = 210,556.40/477.03
  6. Step 6: Final answer
    x = 441.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.