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Finding the Fourth Proportional to 442.65, 610.30 and 276.81

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Solution

The fourth proportional to 442.65, 610.30 and 276.81 is: 381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.65 : 610.30 = 276.81 : x
  2. Step 2: Convert to fraction form
    442.65/610.30 = 276.81/x
  3. Step 3: Cross multiply
    442.65x = 610.30 × 276.81
  4. Step 4: Simplify right side
    442.65x = 168,937.14
  5. Step 5: Solve for x
    x = 168,937.14/442.65
  6. Step 6: Final answer
    x = 381.65

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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.