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Finding the Fourth Proportional to 442.64, 610.25 and 369.06

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Solution

The fourth proportional to 442.64, 610.25 and 369.06 is: 508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.64 : 610.25 = 369.06 : x
  2. Step 2: Convert to fraction form
    442.64/610.25 = 369.06/x
  3. Step 3: Cross multiply
    442.64x = 610.25 × 369.06
  4. Step 4: Simplify right side
    442.64x = 225,217.02
  5. Step 5: Solve for x
    x = 225,217.02/442.64
  6. Step 6: Final answer
    x = 508.81

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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.