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Finding the Fourth Proportional to 202.80, 304.10 and 175.44

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Solution

The fourth proportional to 202.80, 304.10 and 175.44 is: 263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 304.10 = 175.44 : x
  2. Step 2: Convert to fraction form
    202.80/304.10 = 175.44/x
  3. Step 3: Cross multiply
    202.80x = 304.10 × 175.44
  4. Step 4: Simplify right side
    202.80x = 53,351.30
  5. Step 5: Solve for x
    x = 53,351.30/202.80
  6. Step 6: Final answer
    x = 263.07

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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.