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Finding the Fourth Proportional to 256.34, 382.82 and 242.30

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Solution

The fourth proportional to 256.34, 382.82 and 242.30 is: 361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.34 : 382.82 = 242.30 : x
  2. Step 2: Convert to fraction form
    256.34/382.82 = 242.30/x
  3. Step 3: Cross multiply
    256.34x = 382.82 × 242.30
  4. Step 4: Simplify right side
    256.34x = 92,757.29
  5. Step 5: Solve for x
    x = 92,757.29/256.34
  6. Step 6: Final answer
    x = 361.85

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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.