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Finding the Fourth Proportional to 442.28, 609.23 and 372.35

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Solution

The fourth proportional to 442.28, 609.23 and 372.35 is: 512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.28 : 609.23 = 372.35 : x
  2. Step 2: Convert to fraction form
    442.28/609.23 = 372.35/x
  3. Step 3: Cross multiply
    442.28x = 609.23 × 372.35
  4. Step 4: Simplify right side
    442.28x = 226,849.24
  5. Step 5: Solve for x
    x = 226,849.24/442.28
  6. Step 6: Final answer
    x = 512.91

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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.