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Finding the Fourth Proportional to 442.22, 610.19 and 265.14

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Solution

The fourth proportional to 442.22, 610.19 and 265.14 is: 365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.22 : 610.19 = 265.14 : x
  2. Step 2: Convert to fraction form
    442.22/610.19 = 265.14/x
  3. Step 3: Cross multiply
    442.22x = 610.19 × 265.14
  4. Step 4: Simplify right side
    442.22x = 161,785.78
  5. Step 5: Solve for x
    x = 161,785.78/442.22
  6. Step 6: Final answer
    x = 365.85

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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.