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Finding the Fourth Proportional to 272.00, 405.40 and 256.62

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Solution

The fourth proportional to 272.00, 405.40 and 256.62 is: 382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.00 : 405.40 = 256.62 : x
  2. Step 2: Convert to fraction form
    272.00/405.40 = 256.62/x
  3. Step 3: Cross multiply
    272.00x = 405.40 × 256.62
  4. Step 4: Simplify right side
    272.00x = 104,033.75
  5. Step 5: Solve for x
    x = 104,033.75/272.00
  6. Step 6: Final answer
    x = 382.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.