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Finding the Fourth Proportional to 236.20, 355.68 and 175.76

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Solution

The fourth proportional to 236.20, 355.68 and 175.76 is: 264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.20 : 355.68 = 175.76 : x
  2. Step 2: Convert to fraction form
    236.20/355.68 = 175.76/x
  3. Step 3: Cross multiply
    236.20x = 355.68 × 175.76
  4. Step 4: Simplify right side
    236.20x = 62,514.32
  5. Step 5: Solve for x
    x = 62,514.32/236.20
  6. Step 6: Final answer
    x = 264.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.