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Finding the Fourth Proportional to 498.16, 687.48 and 277.12

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Solution

The fourth proportional to 498.16, 687.48 and 277.12 is: 382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.16 : 687.48 = 277.12 : x
  2. Step 2: Convert to fraction form
    498.16/687.48 = 277.12/x
  3. Step 3: Cross multiply
    498.16x = 687.48 × 277.12
  4. Step 4: Simplify right side
    498.16x = 190,514.46
  5. Step 5: Solve for x
    x = 190,514.46/498.16
  6. Step 6: Final answer
    x = 382.44

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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.