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Finding the Fourth Proportional to 442.25, 609.89 and 265.18

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Solution

The fourth proportional to 442.25, 609.89 and 265.18 is: 365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 609.89 = 265.18 : x
  2. Step 2: Convert to fraction form
    442.25/609.89 = 265.18/x
  3. Step 3: Cross multiply
    442.25x = 609.89 × 265.18
  4. Step 4: Simplify right side
    442.25x = 161,730.83
  5. Step 5: Solve for x
    x = 161,730.83/442.25
  6. Step 6: Final answer
    x = 365.70

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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.