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Finding the Fourth Proportional to 320.82, 479.48 and 234.34

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Solution

The fourth proportional to 320.82, 479.48 and 234.34 is: 350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.82 : 479.48 = 234.34 : x
  2. Step 2: Convert to fraction form
    320.82/479.48 = 234.34/x
  3. Step 3: Cross multiply
    320.82x = 479.48 × 234.34
  4. Step 4: Simplify right side
    320.82x = 112,357.77
  5. Step 5: Solve for x
    x = 112,357.77/320.82
  6. Step 6: Final answer
    x = 350.22

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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.