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Finding the Fourth Proportional to 467.99, 645.53 and 293.43

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Solution

The fourth proportional to 467.99, 645.53 and 293.43 is: 404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.99 : 645.53 = 293.43 : x
  2. Step 2: Convert to fraction form
    467.99/645.53 = 293.43/x
  3. Step 3: Cross multiply
    467.99x = 645.53 × 293.43
  4. Step 4: Simplify right side
    467.99x = 189,416.40
  5. Step 5: Solve for x
    x = 189,416.40/467.99
  6. Step 6: Final answer
    x = 404.75

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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.