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Finding the Fourth Proportional to 256.37, 382.74 and 219.81

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Solution

The fourth proportional to 256.37, 382.74 and 219.81 is: 328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.37 : 382.74 = 219.81 : x
  2. Step 2: Convert to fraction form
    256.37/382.74 = 219.81/x
  3. Step 3: Cross multiply
    256.37x = 382.74 × 219.81
  4. Step 4: Simplify right side
    256.37x = 84,131.93
  5. Step 5: Solve for x
    x = 84,131.93/256.37
  6. Step 6: Final answer
    x = 328.17

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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.