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Finding the Fourth Proportional to 383.83, 572.95 and 335.23

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Solution

The fourth proportional to 383.83, 572.95 and 335.23 is: 500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.83 : 572.95 = 335.23 : x
  2. Step 2: Convert to fraction form
    383.83/572.95 = 335.23/x
  3. Step 3: Cross multiply
    383.83x = 572.95 × 335.23
  4. Step 4: Simplify right side
    383.83x = 192,070.87
  5. Step 5: Solve for x
    x = 192,070.87/383.83
  6. Step 6: Final answer
    x = 500.41

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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.