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Finding the Fourth Proportional to 357.28, 534.72 and 229.12

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Solution

The fourth proportional to 357.28, 534.72 and 229.12 is: 342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.28 : 534.72 = 229.12 : x
  2. Step 2: Convert to fraction form
    357.28/534.72 = 229.12/x
  3. Step 3: Cross multiply
    357.28x = 534.72 × 229.12
  4. Step 4: Simplify right side
    357.28x = 122,515.05
  5. Step 5: Solve for x
    x = 122,515.05/357.28
  6. Step 6: Final answer
    x = 342.91

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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.