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Finding the Fourth Proportional to 467.60, 645.12 and 292.88

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Solution

The fourth proportional to 467.60, 645.12 and 292.88 is: 404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.60 : 645.12 = 292.88 : x
  2. Step 2: Convert to fraction form
    467.60/645.12 = 292.88/x
  3. Step 3: Cross multiply
    467.60x = 645.12 × 292.88
  4. Step 4: Simplify right side
    467.60x = 188,942.75
  5. Step 5: Solve for x
    x = 188,942.75/467.60
  6. Step 6: Final answer
    x = 404.07

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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.