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Finding the Fourth Proportional to 272.18, 377.38 and 257.60

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Solution

The fourth proportional to 272.18, 377.38 and 257.60 is: 357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.18 : 377.38 = 257.60 : x
  2. Step 2: Convert to fraction form
    272.18/377.38 = 257.60/x
  3. Step 3: Cross multiply
    272.18x = 377.38 × 257.60
  4. Step 4: Simplify right side
    272.18x = 97,213.09
  5. Step 5: Solve for x
    x = 97,213.09/272.18
  6. Step 6: Final answer
    x = 357.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.