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Finding the Fourth Proportional to 442.51, 610.68 and 287.26

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Solution

The fourth proportional to 442.51, 610.68 and 287.26 is: 396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.51 : 610.68 = 287.26 : x
  2. Step 2: Convert to fraction form
    442.51/610.68 = 287.26/x
  3. Step 3: Cross multiply
    442.51x = 610.68 × 287.26
  4. Step 4: Simplify right side
    442.51x = 175,423.94
  5. Step 5: Solve for x
    x = 175,423.94/442.51
  6. Step 6: Final answer
    x = 396.43

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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.