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Finding the Fourth Proportional to 327.91, 494.16 and 307.40

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Solution

The fourth proportional to 327.91, 494.16 and 307.40 is: 463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.91 : 494.16 = 307.40 : x
  2. Step 2: Convert to fraction form
    327.91/494.16 = 307.40/x
  3. Step 3: Cross multiply
    327.91x = 494.16 × 307.40
  4. Step 4: Simplify right side
    327.91x = 151,904.78
  5. Step 5: Solve for x
    x = 151,904.78/327.91
  6. Step 6: Final answer
    x = 463.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.