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Finding the Fourth Proportional to 256.23, 382.32 and 244.22

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Solution

The fourth proportional to 256.23, 382.32 and 244.22 is: 364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 382.32 = 244.22 : x
  2. Step 2: Convert to fraction form
    256.23/382.32 = 244.22/x
  3. Step 3: Cross multiply
    256.23x = 382.32 × 244.22
  4. Step 4: Simplify right side
    256.23x = 93,368.28
  5. Step 5: Solve for x
    x = 93,368.28/256.23
  6. Step 6: Final answer
    x = 364.39

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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.