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Finding the Fourth Proportional to 255.72, 382.01 and 214.71

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Solution

The fourth proportional to 255.72, 382.01 and 214.71 is: 320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.72 : 382.01 = 214.71 : x
  2. Step 2: Convert to fraction form
    255.72/382.01 = 214.71/x
  3. Step 3: Cross multiply
    255.72x = 382.01 × 214.71
  4. Step 4: Simplify right side
    255.72x = 82,020.29
  5. Step 5: Solve for x
    x = 82,020.29/255.72
  6. Step 6: Final answer
    x = 320.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.