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Finding the Fourth Proportional to 256.40, 382.90 and 204.02

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Solution

The fourth proportional to 256.40, 382.90 and 204.02 is: 304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.40 : 382.90 = 204.02 : x
  2. Step 2: Convert to fraction form
    256.40/382.90 = 204.02/x
  3. Step 3: Cross multiply
    256.40x = 382.90 × 204.02
  4. Step 4: Simplify right side
    256.40x = 78,119.26
  5. Step 5: Solve for x
    x = 78,119.26/256.40
  6. Step 6: Final answer
    x = 304.68

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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.