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Finding the Fourth Proportional to 202.75, 302.49 and 177.03

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Solution

The fourth proportional to 202.75, 302.49 and 177.03 is: 264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.75 : 302.49 = 177.03 : x
  2. Step 2: Convert to fraction form
    202.75/302.49 = 177.03/x
  3. Step 3: Cross multiply
    202.75x = 302.49 × 177.03
  4. Step 4: Simplify right side
    202.75x = 53,549.80
  5. Step 5: Solve for x
    x = 53,549.80/202.75
  6. Step 6: Final answer
    x = 264.12

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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.