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Finding the Fourth Proportional to 468.05, 645.65 and 293.09

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Solution

The fourth proportional to 468.05, 645.65 and 293.09 is: 404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.05 : 645.65 = 293.09 : x
  2. Step 2: Convert to fraction form
    468.05/645.65 = 293.09/x
  3. Step 3: Cross multiply
    468.05x = 645.65 × 293.09
  4. Step 4: Simplify right side
    468.05x = 189,232.09
  5. Step 5: Solve for x
    x = 189,232.09/468.05
  6. Step 6: Final answer
    x = 404.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.