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Finding the Fourth Proportional to 323.42, 486.87 and 294.71

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Solution

The fourth proportional to 323.42, 486.87 and 294.71 is: 443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.42 : 486.87 = 294.71 : x
  2. Step 2: Convert to fraction form
    323.42/486.87 = 294.71/x
  3. Step 3: Cross multiply
    323.42x = 486.87 × 294.71
  4. Step 4: Simplify right side
    323.42x = 143,483.02
  5. Step 5: Solve for x
    x = 143,483.02/323.42
  6. Step 6: Final answer
    x = 443.65

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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.