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Finding the Fourth Proportional to 350.88, 523.20 and 335.76

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Solution

The fourth proportional to 350.88, 523.20 and 335.76 is: 500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.88 : 523.20 = 335.76 : x
  2. Step 2: Convert to fraction form
    350.88/523.20 = 335.76/x
  3. Step 3: Cross multiply
    350.88x = 523.20 × 335.76
  4. Step 4: Simplify right side
    350.88x = 175,669.63
  5. Step 5: Solve for x
    x = 175,669.63/350.88
  6. Step 6: Final answer
    x = 500.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.