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Finding the Fourth Proportional to 498.08, 687.36 and 274.02

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Solution

The fourth proportional to 498.08, 687.36 and 274.02 is: 378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.08 : 687.36 = 274.02 : x
  2. Step 2: Convert to fraction form
    498.08/687.36 = 274.02/x
  3. Step 3: Cross multiply
    498.08x = 687.36 × 274.02
  4. Step 4: Simplify right side
    498.08x = 188,349.02
  5. Step 5: Solve for x
    x = 188,349.02/498.08
  6. Step 6: Final answer
    x = 378.15

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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.