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Finding the Fourth Proportional to 495.21, 682.88 and 298.60

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Solution

The fourth proportional to 495.21, 682.88 and 298.60 is: 411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.21 : 682.88 = 298.60 : x
  2. Step 2: Convert to fraction form
    495.21/682.88 = 298.60/x
  3. Step 3: Cross multiply
    495.21x = 682.88 × 298.60
  4. Step 4: Simplify right side
    495.21x = 203,908.71
  5. Step 5: Solve for x
    x = 203,908.71/495.21
  6. Step 6: Final answer
    x = 411.77

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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.