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Finding the Fourth Proportional to 498.06, 687.24 and 276.96

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Solution

The fourth proportional to 498.06, 687.24 and 276.96 is: 382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.06 : 687.24 = 276.96 : x
  2. Step 2: Convert to fraction form
    498.06/687.24 = 276.96/x
  3. Step 3: Cross multiply
    498.06x = 687.24 × 276.96
  4. Step 4: Simplify right side
    498.06x = 190,337.99
  5. Step 5: Solve for x
    x = 190,337.99/498.06
  6. Step 6: Final answer
    x = 382.16

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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.