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Finding the Fourth Proportional to 382.35, 572.85 and 313.77

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Solution

The fourth proportional to 382.35, 572.85 and 313.77 is: 470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.35 : 572.85 = 313.77 : x
  2. Step 2: Convert to fraction form
    382.35/572.85 = 313.77/x
  3. Step 3: Cross multiply
    382.35x = 572.85 × 313.77
  4. Step 4: Simplify right side
    382.35x = 179,743.14
  5. Step 5: Solve for x
    x = 179,743.14/382.35
  6. Step 6: Final answer
    x = 470.10

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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.