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Finding the Fourth Proportional to 380.71, 525.39 and 214.93

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Solution

The fourth proportional to 380.71, 525.39 and 214.93 is: 296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.71 : 525.39 = 214.93 : x
  2. Step 2: Convert to fraction form
    380.71/525.39 = 214.93/x
  3. Step 3: Cross multiply
    380.71x = 525.39 × 214.93
  4. Step 4: Simplify right side
    380.71x = 112,921.92
  5. Step 5: Solve for x
    x = 112,921.92/380.71
  6. Step 6: Final answer
    x = 296.61

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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.