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Finding the Fourth Proportional to 256.57, 385.13 and 160.59

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Solution

The fourth proportional to 256.57, 385.13 and 160.59 is: 241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.57 : 385.13 = 160.59 : x
  2. Step 2: Convert to fraction form
    256.57/385.13 = 160.59/x
  3. Step 3: Cross multiply
    256.57x = 385.13 × 160.59
  4. Step 4: Simplify right side
    256.57x = 61,848.03
  5. Step 5: Solve for x
    x = 61,848.03/256.57
  6. Step 6: Final answer
    x = 241.06

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