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Finding the Fourth Proportional to 475, 713.04 and 218.56

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Solution

The fourth proportional to 475, 713.04 and 218.56 is: 328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    475 : 713.04 = 218.56 : x
  2. Step 2: Convert to fraction form
    475/713.04 = 218.56/x
  3. Step 3: Cross multiply
    475x = 713.04 × 218.56
  4. Step 4: Simplify right side
    475x = 155,842.02
  5. Step 5: Solve for x
    x = 155,842.02/475
  6. Step 6: Final answer
    x = 328.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.