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Finding the Fourth Proportional to 442.81, 609.78 and 332.11

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Solution

The fourth proportional to 442.81, 609.78 and 332.11 is: 457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.81 : 609.78 = 332.11 : x
  2. Step 2: Convert to fraction form
    442.81/609.78 = 332.11/x
  3. Step 3: Cross multiply
    442.81x = 609.78 × 332.11
  4. Step 4: Simplify right side
    442.81x = 202,514.04
  5. Step 5: Solve for x
    x = 202,514.04/442.81
  6. Step 6: Final answer
    x = 457.34

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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.