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Finding the Fourth Proportional to 256.15, 353.50 and 151.22

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Solution

The fourth proportional to 256.15, 353.50 and 151.22 is: 208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.15 : 353.50 = 151.22 : x
  2. Step 2: Convert to fraction form
    256.15/353.50 = 151.22/x
  3. Step 3: Cross multiply
    256.15x = 353.50 × 151.22
  4. Step 4: Simplify right side
    256.15x = 53,456.27
  5. Step 5: Solve for x
    x = 53,456.27/256.15
  6. Step 6: Final answer
    x = 208.69

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