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Finding the Fourth Proportional to 350.18, 522.81 and 289.43

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Solution

The fourth proportional to 350.18, 522.81 and 289.43 is: 432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.18 : 522.81 = 289.43 : x
  2. Step 2: Convert to fraction form
    350.18/522.81 = 289.43/x
  3. Step 3: Cross multiply
    350.18x = 522.81 × 289.43
  4. Step 4: Simplify right side
    350.18x = 151,315.45
  5. Step 5: Solve for x
    x = 151,315.45/350.18
  6. Step 6: Final answer
    x = 432.11

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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.