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Finding the Fourth Proportional to 256.73, 384.31 and 165.49

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Solution

The fourth proportional to 256.73, 384.31 and 165.49 is: 247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.73 : 384.31 = 165.49 : x
  2. Step 2: Convert to fraction form
    256.73/384.31 = 165.49/x
  3. Step 3: Cross multiply
    256.73x = 384.31 × 165.49
  4. Step 4: Simplify right side
    256.73x = 63,598.71
  5. Step 5: Solve for x
    x = 63,598.71/256.73
  6. Step 6: Final answer
    x = 247.73

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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.