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Finding the Fourth Proportional to 270, 404.94 and 125.76

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Solution

The fourth proportional to 270, 404.94 and 125.76 is: 188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 404.94 = 125.76 : x
  2. Step 2: Convert to fraction form
    270/404.94 = 125.76/x
  3. Step 3: Cross multiply
    270x = 404.94 × 125.76
  4. Step 4: Simplify right side
    270x = 50,925.25
  5. Step 5: Solve for x
    x = 50,925.25/270
  6. Step 6: Final answer
    x = 188.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.