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Finding the Fourth Proportional to 202.76, 302.75 and 180.89

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Solution

The fourth proportional to 202.76, 302.75 and 180.89 is: 270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.76 : 302.75 = 180.89 : x
  2. Step 2: Convert to fraction form
    202.76/302.75 = 180.89/x
  3. Step 3: Cross multiply
    202.76x = 302.75 × 180.89
  4. Step 4: Simplify right side
    202.76x = 54,764.45
  5. Step 5: Solve for x
    x = 54,764.45/202.76
  6. Step 6: Final answer
    x = 270.09

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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.