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Finding the Fourth Proportional to 206.72, 309.12 and 180.08

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Solution

The fourth proportional to 206.72, 309.12 and 180.08 is: 269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.72 : 309.12 = 180.08 : x
  2. Step 2: Convert to fraction form
    206.72/309.12 = 180.08/x
  3. Step 3: Cross multiply
    206.72x = 309.12 × 180.08
  4. Step 4: Simplify right side
    206.72x = 55,666.33
  5. Step 5: Solve for x
    x = 55,666.33/206.72
  6. Step 6: Final answer
    x = 269.28

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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.