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Finding the Fourth Proportional to 350.96, 526.64 and 229.28

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Solution

The fourth proportional to 350.96, 526.64 and 229.28 is: 344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.96 : 526.64 = 229.28 : x
  2. Step 2: Convert to fraction form
    350.96/526.64 = 229.28/x
  3. Step 3: Cross multiply
    350.96x = 526.64 × 229.28
  4. Step 4: Simplify right side
    350.96x = 120,744.24
  5. Step 5: Solve for x
    x = 120,744.24/350.96
  6. Step 6: Final answer
    x = 344.04

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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.