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Finding the Fourth Proportional to 256.83, 354.41 and 151.90

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Solution

The fourth proportional to 256.83, 354.41 and 151.90 is: 209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.83 : 354.41 = 151.90 : x
  2. Step 2: Convert to fraction form
    256.83/354.41 = 151.90/x
  3. Step 3: Cross multiply
    256.83x = 354.41 × 151.90
  4. Step 4: Simplify right side
    256.83x = 53,836.22
  5. Step 5: Solve for x
    x = 53,836.22/256.83
  6. Step 6: Final answer
    x = 209.61

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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.