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Finding the Fourth Proportional to 380.37, 524.95 and 214.61

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Solution

The fourth proportional to 380.37, 524.95 and 214.61 is: 296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.37 : 524.95 = 214.61 : x
  2. Step 2: Convert to fraction form
    380.37/524.95 = 214.61/x
  3. Step 3: Cross multiply
    380.37x = 524.95 × 214.61
  4. Step 4: Simplify right side
    380.37x = 112,659.52
  5. Step 5: Solve for x
    x = 112,659.52/380.37
  6. Step 6: Final answer
    x = 296.18

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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.