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Finding the Fourth Proportional to 443.09, 609.99 and 332.38

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Solution

The fourth proportional to 443.09, 609.99 and 332.38 is: 457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.09 : 609.99 = 332.38 : x
  2. Step 2: Convert to fraction form
    443.09/609.99 = 332.38/x
  3. Step 3: Cross multiply
    443.09x = 609.99 × 332.38
  4. Step 4: Simplify right side
    443.09x = 202,746.81
  5. Step 5: Solve for x
    x = 202,746.81/443.09
  6. Step 6: Final answer
    x = 457.57

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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.