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Finding the Fourth Proportional to 383.04, 573.54 and 313.80

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Solution

The fourth proportional to 383.04, 573.54 and 313.80 is: 469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.04 : 573.54 = 313.80 : x
  2. Step 2: Convert to fraction form
    383.04/573.54 = 313.80/x
  3. Step 3: Cross multiply
    383.04x = 573.54 × 313.80
  4. Step 4: Simplify right side
    383.04x = 179,976.85
  5. Step 5: Solve for x
    x = 179,976.85/383.04
  6. Step 6: Final answer
    x = 469.86

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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.