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Finding the Fourth Proportional to 442.17, 609.95 and 359.13

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Solution

The fourth proportional to 442.17, 609.95 and 359.13 is: 495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.17 : 609.95 = 359.13 : x
  2. Step 2: Convert to fraction form
    442.17/609.95 = 359.13/x
  3. Step 3: Cross multiply
    442.17x = 609.95 × 359.13
  4. Step 4: Simplify right side
    442.17x = 219,052.24
  5. Step 5: Solve for x
    x = 219,052.24/442.17
  6. Step 6: Final answer
    x = 495.40

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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.