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Finding the Fourth Proportional to 256.74, 354.76 and 182.93

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Solution

The fourth proportional to 256.74, 354.76 and 182.93 is: 252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.74 : 354.76 = 182.93 : x
  2. Step 2: Convert to fraction form
    256.74/354.76 = 182.93/x
  3. Step 3: Cross multiply
    256.74x = 354.76 × 182.93
  4. Step 4: Simplify right side
    256.74x = 64,895.04
  5. Step 5: Solve for x
    x = 64,895.04/256.74
  6. Step 6: Final answer
    x = 252.77

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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.