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Finding the Fourth Proportional to 256.67, 353.94 and 151.76

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Solution

The fourth proportional to 256.67, 353.94 and 151.76 is: 209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.67 : 353.94 = 151.76 : x
  2. Step 2: Convert to fraction form
    256.67/353.94 = 151.76/x
  3. Step 3: Cross multiply
    256.67x = 353.94 × 151.76
  4. Step 4: Simplify right side
    256.67x = 53,715.03
  5. Step 5: Solve for x
    x = 53,715.03/256.67
  6. Step 6: Final answer
    x = 209.28

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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.