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Finding the Fourth Proportional to 202.20, 304.72 and 182.72

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Solution

The fourth proportional to 202.20, 304.72 and 182.72 is: 275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.20 : 304.72 = 182.72 : x
  2. Step 2: Convert to fraction form
    202.20/304.72 = 182.72/x
  3. Step 3: Cross multiply
    202.20x = 304.72 × 182.72
  4. Step 4: Simplify right side
    202.20x = 55,678.74
  5. Step 5: Solve for x
    x = 55,678.74/202.20
  6. Step 6: Final answer
    x = 275.37

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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.