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Finding the Fourth Proportional to 392.90, 590.67 and 316.80

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Solution

The fourth proportional to 392.90, 590.67 and 316.80 is: 476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.90 : 590.67 = 316.80 : x
  2. Step 2: Convert to fraction form
    392.90/590.67 = 316.80/x
  3. Step 3: Cross multiply
    392.90x = 590.67 × 316.80
  4. Step 4: Simplify right side
    392.90x = 187,124.26
  5. Step 5: Solve for x
    x = 187,124.26/392.90
  6. Step 6: Final answer
    x = 476.27

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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.