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Finding the Fourth Proportional to 175, 262.08 and 126.67

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Solution

The fourth proportional to 175, 262.08 and 126.67 is: 189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175 : 262.08 = 126.67 : x
  2. Step 2: Convert to fraction form
    175/262.08 = 126.67/x
  3. Step 3: Cross multiply
    175x = 262.08 × 126.67
  4. Step 4: Simplify right side
    175x = 33,197.67
  5. Step 5: Solve for x
    x = 33,197.67/175
  6. Step 6: Final answer
    x = 189.70

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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.