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Finding the Fourth Proportional to 442.02, 610.19 and 265.06

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Solution

The fourth proportional to 442.02, 610.19 and 265.06 is: 365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.02 : 610.19 = 265.06 : x
  2. Step 2: Convert to fraction form
    442.02/610.19 = 265.06/x
  3. Step 3: Cross multiply
    442.02x = 610.19 × 265.06
  4. Step 4: Simplify right side
    442.02x = 161,736.96
  5. Step 5: Solve for x
    x = 161,736.96/442.02
  6. Step 6: Final answer
    x = 365.90

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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.