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Finding the Fourth Proportional to 442.71, 609.66 and 359.55

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Solution

The fourth proportional to 442.71, 609.66 and 359.55 is: 495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.71 : 609.66 = 359.55 : x
  2. Step 2: Convert to fraction form
    442.71/609.66 = 359.55/x
  3. Step 3: Cross multiply
    442.71x = 609.66 × 359.55
  4. Step 4: Simplify right side
    442.71x = 219,203.25
  5. Step 5: Solve for x
    x = 219,203.25/442.71
  6. Step 6: Final answer
    x = 495.14

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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.