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Finding the Fourth Proportional to 350.70, 527.10 and 290.22

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Solution

The fourth proportional to 350.70, 527.10 and 290.22 is: 436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.70 : 527.10 = 290.22 : x
  2. Step 2: Convert to fraction form
    350.70/527.10 = 290.22/x
  3. Step 3: Cross multiply
    350.70x = 527.10 × 290.22
  4. Step 4: Simplify right side
    350.70x = 152,974.96
  5. Step 5: Solve for x
    x = 152,974.96/350.70
  6. Step 6: Final answer
    x = 436.20

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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.