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Finding the Fourth Proportional to 380.26, 524.80 and 214.46

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Solution

The fourth proportional to 380.26, 524.80 and 214.46 is: 295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.26 : 524.80 = 214.46 : x
  2. Step 2: Convert to fraction form
    380.26/524.80 = 214.46/x
  3. Step 3: Cross multiply
    380.26x = 524.80 × 214.46
  4. Step 4: Simplify right side
    380.26x = 112,548.61
  5. Step 5: Solve for x
    x = 112,548.61/380.26
  6. Step 6: Final answer
    x = 295.98

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