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Finding the Fourth Proportional to 495.01, 682.93 and 329.16

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Solution

The fourth proportional to 495.01, 682.93 and 329.16 is: 454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.01 : 682.93 = 329.16 : x
  2. Step 2: Convert to fraction form
    495.01/682.93 = 329.16/x
  3. Step 3: Cross multiply
    495.01x = 682.93 × 329.16
  4. Step 4: Simplify right side
    495.01x = 224,793.24
  5. Step 5: Solve for x
    x = 224,793.24/495.01
  6. Step 6: Final answer
    x = 454.12

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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.