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Finding the Fourth Proportional to 256.06, 353.36 and 145.53

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Solution

The fourth proportional to 256.06, 353.36 and 145.53 is: 200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.06 : 353.36 = 145.53 : x
  2. Step 2: Convert to fraction form
    256.06/353.36 = 145.53/x
  3. Step 3: Cross multiply
    256.06x = 353.36 × 145.53
  4. Step 4: Simplify right side
    256.06x = 51,424.84
  5. Step 5: Solve for x
    x = 51,424.84/256.06
  6. Step 6: Final answer
    x = 200.83

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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.