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Finding the Fourth Proportional to 275.68, 379.56 and 257.32

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Solution

The fourth proportional to 275.68, 379.56 and 257.32 is: 354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.68 : 379.56 = 257.32 : x
  2. Step 2: Convert to fraction form
    275.68/379.56 = 257.32/x
  3. Step 3: Cross multiply
    275.68x = 379.56 × 257.32
  4. Step 4: Simplify right side
    275.68x = 97,668.38
  5. Step 5: Solve for x
    x = 97,668.38/275.68
  6. Step 6: Final answer
    x = 354.28

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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.