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Finding the Fourth Proportional to 355.96, 488.50 and 320.19

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Solution

The fourth proportional to 355.96, 488.50 and 320.19 is: 439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.96 : 488.50 = 320.19 : x
  2. Step 2: Convert to fraction form
    355.96/488.50 = 320.19/x
  3. Step 3: Cross multiply
    355.96x = 488.50 × 320.19
  4. Step 4: Simplify right side
    355.96x = 156,412.82
  5. Step 5: Solve for x
    x = 156,412.82/355.96
  6. Step 6: Final answer
    x = 439.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.