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Finding the Fourth Proportional to 442.72, 610.85 and 268.06

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Solution

The fourth proportional to 442.72, 610.85 and 268.06 is: 369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.72 : 610.85 = 268.06 : x
  2. Step 2: Convert to fraction form
    442.72/610.85 = 268.06/x
  3. Step 3: Cross multiply
    442.72x = 610.85 × 268.06
  4. Step 4: Simplify right side
    442.72x = 163,744.45
  5. Step 5: Solve for x
    x = 163,744.45/442.72
  6. Step 6: Final answer
    x = 369.86

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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.