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Finding the Fourth Proportional to 327.84, 493.68 and 296.64

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Solution

The fourth proportional to 327.84, 493.68 and 296.64 is: 446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.84 : 493.68 = 296.64 : x
  2. Step 2: Convert to fraction form
    327.84/493.68 = 296.64/x
  3. Step 3: Cross multiply
    327.84x = 493.68 × 296.64
  4. Step 4: Simplify right side
    327.84x = 146,445.24
  5. Step 5: Solve for x
    x = 146,445.24/327.84
  6. Step 6: Final answer
    x = 446.70

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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.