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Finding the Fourth Proportional to 351.05, 523.70 and 290.00

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Solution

The fourth proportional to 351.05, 523.70 and 290.00 is: 432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.05 : 523.70 = 290.00 : x
  2. Step 2: Convert to fraction form
    351.05/523.70 = 290.00/x
  3. Step 3: Cross multiply
    351.05x = 523.70 × 290.00
  4. Step 4: Simplify right side
    351.05x = 151,868.93
  5. Step 5: Solve for x
    x = 151,868.93/351.05
  6. Step 6: Final answer
    x = 432.62

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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.