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Finding the Fourth Proportional to 270.84, 408.27 and 255.18

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Solution

The fourth proportional to 270.84, 408.27 and 255.18 is: 384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.84 : 408.27 = 255.18 : x
  2. Step 2: Convert to fraction form
    270.84/408.27 = 255.18/x
  3. Step 3: Cross multiply
    270.84x = 408.27 × 255.18
  4. Step 4: Simplify right side
    270.84x = 104,182.34
  5. Step 5: Solve for x
    x = 104,182.34/270.84
  6. Step 6: Final answer
    x = 384.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.