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Finding the Fourth Proportional to 309.96, 465.12 and 201.78

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Solution

The fourth proportional to 309.96, 465.12 and 201.78 is: 302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 465.12 = 201.78 : x
  2. Step 2: Convert to fraction form
    309.96/465.12 = 201.78/x
  3. Step 3: Cross multiply
    309.96x = 465.12 × 201.78
  4. Step 4: Simplify right side
    309.96x = 93,851.91
  5. Step 5: Solve for x
    x = 93,851.91/309.96
  6. Step 6: Final answer
    x = 302.79

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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.