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Finding the Fourth Proportional to 256.38, 385.29 and 193.02

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Solution

The fourth proportional to 256.38, 385.29 and 193.02 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.38 : 385.29 = 193.02 : x
  2. Step 2: Convert to fraction form
    256.38/385.29 = 193.02/x
  3. Step 3: Cross multiply
    256.38x = 385.29 × 193.02
  4. Step 4: Simplify right side
    256.38x = 74,368.68
  5. Step 5: Solve for x
    x = 74,368.68/256.38
  6. Step 6: Final answer
    x = 290.07

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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.