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Finding the Fourth Proportional to 468.05, 645.56 and 343.67

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Solution

The fourth proportional to 468.05, 645.56 and 343.67 is: 474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.05 : 645.56 = 343.67 : x
  2. Step 2: Convert to fraction form
    468.05/645.56 = 343.67/x
  3. Step 3: Cross multiply
    468.05x = 645.56 × 343.67
  4. Step 4: Simplify right side
    468.05x = 221,859.61
  5. Step 5: Solve for x
    x = 221,859.61/468.05
  6. Step 6: Final answer
    x = 474.01

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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.