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Finding the Fourth Proportional to 406.50, 608.34 and 332.52

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Solution

The fourth proportional to 406.50, 608.34 and 332.52 is: 497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.50 : 608.34 = 332.52 : x
  2. Step 2: Convert to fraction form
    406.50/608.34 = 332.52/x
  3. Step 3: Cross multiply
    406.50x = 608.34 × 332.52
  4. Step 4: Simplify right side
    406.50x = 202,284.80
  5. Step 5: Solve for x
    x = 202,284.80/406.50
  6. Step 6: Final answer
    x = 497.62

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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.