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Finding the Fourth Proportional to 380.26, 524.71 and 214.45

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Solution

The fourth proportional to 380.26, 524.71 and 214.45 is: 295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.26 : 524.71 = 214.45 : x
  2. Step 2: Convert to fraction form
    380.26/524.71 = 214.45/x
  3. Step 3: Cross multiply
    380.26x = 524.71 × 214.45
  4. Step 4: Simplify right side
    380.26x = 112,524.06
  5. Step 5: Solve for x
    x = 112,524.06/380.26
  6. Step 6: Final answer
    x = 295.91

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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.