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Finding the Fourth Proportional to 319.12, 477.60 and 257.56

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Solution

The fourth proportional to 319.12, 477.60 and 257.56 is: 385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.12 : 477.60 = 257.56 : x
  2. Step 2: Convert to fraction form
    319.12/477.60 = 257.56/x
  3. Step 3: Cross multiply
    319.12x = 477.60 × 257.56
  4. Step 4: Simplify right side
    319.12x = 123,010.66
  5. Step 5: Solve for x
    x = 123,010.66/319.12
  6. Step 6: Final answer
    x = 385.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.