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Finding the Fourth Proportional to 256.73, 384.68 and 195.66

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Solution

The fourth proportional to 256.73, 384.68 and 195.66 is: 293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.73 : 384.68 = 195.66 : x
  2. Step 2: Convert to fraction form
    256.73/384.68 = 195.66/x
  3. Step 3: Cross multiply
    256.73x = 384.68 × 195.66
  4. Step 4: Simplify right side
    256.73x = 75,265.51
  5. Step 5: Solve for x
    x = 75,265.51/256.73
  6. Step 6: Final answer
    x = 293.18

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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.