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Finding the Fourth Proportional to 270.36, 402.58 and 266.48

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Solution

The fourth proportional to 270.36, 402.58 and 266.48 is: 396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.36 : 402.58 = 266.48 : x
  2. Step 2: Convert to fraction form
    270.36/402.58 = 266.48/x
  3. Step 3: Cross multiply
    270.36x = 402.58 × 266.48
  4. Step 4: Simplify right side
    270.36x = 107,279.52
  5. Step 5: Solve for x
    x = 107,279.52/270.36
  6. Step 6: Final answer
    x = 396.80

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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.