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Finding the Fourth Proportional to 256.29, 382.43 and 240.81

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Solution

The fourth proportional to 256.29, 382.43 and 240.81 is: 359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.29 : 382.43 = 240.81 : x
  2. Step 2: Convert to fraction form
    256.29/382.43 = 240.81/x
  3. Step 3: Cross multiply
    256.29x = 382.43 × 240.81
  4. Step 4: Simplify right side
    256.29x = 92,091.76
  5. Step 5: Solve for x
    x = 92,091.76/256.29
  6. Step 6: Final answer
    x = 359.33

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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.