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Finding the Fourth Proportional to 270.68, 375.29 and 265.40

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Solution

The fourth proportional to 270.68, 375.29 and 265.40 is: 367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.68 : 375.29 = 265.40 : x
  2. Step 2: Convert to fraction form
    270.68/375.29 = 265.40/x
  3. Step 3: Cross multiply
    270.68x = 375.29 × 265.40
  4. Step 4: Simplify right side
    270.68x = 99,601.97
  5. Step 5: Solve for x
    x = 99,601.97/270.68
  6. Step 6: Final answer
    x = 367.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.