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Finding the Fourth Proportional to 468.24, 645.91 and 343.72

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Solution

The fourth proportional to 468.24, 645.91 and 343.72 is: 474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.24 : 645.91 = 343.72 : x
  2. Step 2: Convert to fraction form
    468.24/645.91 = 343.72/x
  3. Step 3: Cross multiply
    468.24x = 645.91 × 343.72
  4. Step 4: Simplify right side
    468.24x = 222,012.19
  5. Step 5: Solve for x
    x = 222,012.19/468.24
  6. Step 6: Final answer
    x = 474.14

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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.