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Finding the Fourth Proportional to 256.34, 384.33 and 82.95

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Solution

The fourth proportional to 256.34, 384.33 and 82.95 is: 124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.34 : 384.33 = 82.95 : x
  2. Step 2: Convert to fraction form
    256.34/384.33 = 82.95/x
  3. Step 3: Cross multiply
    256.34x = 384.33 × 82.95
  4. Step 4: Simplify right side
    256.34x = 31,880.17
  5. Step 5: Solve for x
    x = 31,880.17/256.34
  6. Step 6: Final answer
    x = 124.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.