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Finding the Fourth Proportional to 382.20, 570.69 and 313.86

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Solution

The fourth proportional to 382.20, 570.69 and 313.86 is: 468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.20 : 570.69 = 313.86 : x
  2. Step 2: Convert to fraction form
    382.20/570.69 = 313.86/x
  3. Step 3: Cross multiply
    382.20x = 570.69 × 313.86
  4. Step 4: Simplify right side
    382.20x = 179,116.76
  5. Step 5: Solve for x
    x = 179,116.76/382.20
  6. Step 6: Final answer
    x = 468.65

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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.