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Finding the Fourth Proportional to 275.69, 380.69 and 256.55

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Solution

The fourth proportional to 275.69, 380.69 and 256.55 is: 354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.69 : 380.69 = 256.55 : x
  2. Step 2: Convert to fraction form
    275.69/380.69 = 256.55/x
  3. Step 3: Cross multiply
    275.69x = 380.69 × 256.55
  4. Step 4: Simplify right side
    275.69x = 97,665.22
  5. Step 5: Solve for x
    x = 97,665.22/275.69
  6. Step 6: Final answer
    x = 354.26

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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.