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Finding the Fourth Proportional to 272.37, 405.96 and 256.99

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Solution

The fourth proportional to 272.37, 405.96 and 256.99 is: 383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.37 : 405.96 = 256.99 : x
  2. Step 2: Convert to fraction form
    272.37/405.96 = 256.99/x
  3. Step 3: Cross multiply
    272.37x = 405.96 × 256.99
  4. Step 4: Simplify right side
    272.37x = 104,327.66
  5. Step 5: Solve for x
    x = 104,327.66/272.37
  6. Step 6: Final answer
    x = 383.04

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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.