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Finding the Fourth Proportional to 467.99, 645.46 and 302.22

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Solution

The fourth proportional to 467.99, 645.46 and 302.22 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.99 : 645.46 = 302.22 : x
  2. Step 2: Convert to fraction form
    467.99/645.46 = 302.22/x
  3. Step 3: Cross multiply
    467.99x = 645.46 × 302.22
  4. Step 4: Simplify right side
    467.99x = 195,070.92
  5. Step 5: Solve for x
    x = 195,070.92/467.99
  6. Step 6: Final answer
    x = 416.83

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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.