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Finding the Fourth Proportional to 442.87, 610.77 and 265.63

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Solution

The fourth proportional to 442.87, 610.77 and 265.63 is: 366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.87 : 610.77 = 265.63 : x
  2. Step 2: Convert to fraction form
    442.87/610.77 = 265.63/x
  3. Step 3: Cross multiply
    442.87x = 610.77 × 265.63
  4. Step 4: Simplify right side
    442.87x = 162,237.21
  5. Step 5: Solve for x
    x = 162,237.21/442.87
  6. Step 6: Final answer
    x = 366.33

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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.