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Finding the Fourth Proportional to 442.64, 610.36 and 276.81

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Solution

The fourth proportional to 442.64, 610.36 and 276.81 is: 381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.64 : 610.36 = 276.81 : x
  2. Step 2: Convert to fraction form
    442.64/610.36 = 276.81/x
  3. Step 3: Cross multiply
    442.64x = 610.36 × 276.81
  4. Step 4: Simplify right side
    442.64x = 168,953.75
  5. Step 5: Solve for x
    x = 168,953.75/442.64
  6. Step 6: Final answer
    x = 381.70

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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.