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Finding the Fourth Proportional to 379.48, 524.13 and 320.67

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Solution

The fourth proportional to 379.48, 524.13 and 320.67 is: 442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.48 : 524.13 = 320.67 : x
  2. Step 2: Convert to fraction form
    379.48/524.13 = 320.67/x
  3. Step 3: Cross multiply
    379.48x = 524.13 × 320.67
  4. Step 4: Simplify right side
    379.48x = 168,072.77
  5. Step 5: Solve for x
    x = 168,072.77/379.48
  6. Step 6: Final answer
    x = 442.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.