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Finding the Fourth Proportional to 270.72, 403.84 and 265.60

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Solution

The fourth proportional to 270.72, 403.84 and 265.60 is: 396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.72 : 403.84 = 265.60 : x
  2. Step 2: Convert to fraction form
    270.72/403.84 = 265.60/x
  3. Step 3: Cross multiply
    270.72x = 403.84 × 265.60
  4. Step 4: Simplify right side
    270.72x = 107,259.90
  5. Step 5: Solve for x
    x = 107,259.90/270.72
  6. Step 6: Final answer
    x = 396.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.