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Finding the Fourth Proportional to 270.28, 403.18 and 266.76

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Solution

The fourth proportional to 270.28, 403.18 and 266.76 is: 397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.28 : 403.18 = 266.76 : x
  2. Step 2: Convert to fraction form
    270.28/403.18 = 266.76/x
  3. Step 3: Cross multiply
    270.28x = 403.18 × 266.76
  4. Step 4: Simplify right side
    270.28x = 107,552.30
  5. Step 5: Solve for x
    x = 107,552.30/270.28
  6. Step 6: Final answer
    x = 397.93

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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.