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Finding the Fourth Proportional to 347.28, 522.72 and 289.92

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Solution

The fourth proportional to 347.28, 522.72 and 289.92 is: 436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.28 : 522.72 = 289.92 : x
  2. Step 2: Convert to fraction form
    347.28/522.72 = 289.92/x
  3. Step 3: Cross multiply
    347.28x = 522.72 × 289.92
  4. Step 4: Simplify right side
    347.28x = 151,546.98
  5. Step 5: Solve for x
    x = 151,546.98/347.28
  6. Step 6: Final answer
    x = 436.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.