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Finding the Fourth Proportional to 256.77, 354.38 and 183.26

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Solution

The fourth proportional to 256.77, 354.38 and 183.26 is: 252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.77 : 354.38 = 183.26 : x
  2. Step 2: Convert to fraction form
    256.77/354.38 = 183.26/x
  3. Step 3: Cross multiply
    256.77x = 354.38 × 183.26
  4. Step 4: Simplify right side
    256.77x = 64,943.65
  5. Step 5: Solve for x
    x = 64,943.65/256.77
  6. Step 6: Final answer
    x = 252.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.