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Finding the Fourth Proportional to 379.95, 570.24 and 321.75

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Solution

The fourth proportional to 379.95, 570.24 and 321.75 is: 482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.95 : 570.24 = 321.75 : x
  2. Step 2: Convert to fraction form
    379.95/570.24 = 321.75/x
  3. Step 3: Cross multiply
    379.95x = 570.24 × 321.75
  4. Step 4: Simplify right side
    379.95x = 183,471.87
  5. Step 5: Solve for x
    x = 183,471.87/379.95
  6. Step 6: Final answer
    x = 482.89

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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.