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Finding the Fourth Proportional to 442.60, 611.64 and 355.12

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Solution

The fourth proportional to 442.60, 611.64 and 355.12 is: 490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 611.64 = 355.12 : x
  2. Step 2: Convert to fraction form
    442.60/611.64 = 355.12/x
  3. Step 3: Cross multiply
    442.60x = 611.64 × 355.12
  4. Step 4: Simplify right side
    442.60x = 217,205.60
  5. Step 5: Solve for x
    x = 217,205.60/442.60
  6. Step 6: Final answer
    x = 490.75

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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.