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Finding the Fourth Proportional to 379.92, 524.28 and 214.13

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Solution

The fourth proportional to 379.92, 524.28 and 214.13 is: 295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.92 : 524.28 = 214.13 : x
  2. Step 2: Convert to fraction form
    379.92/524.28 = 214.13/x
  3. Step 3: Cross multiply
    379.92x = 524.28 × 214.13
  4. Step 4: Simplify right side
    379.92x = 112,264.08
  5. Step 5: Solve for x
    x = 112,264.08/379.92
  6. Step 6: Final answer
    x = 295.49

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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.