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Finding the Fourth Proportional to 350.06, 522.63 and 289.31

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Solution

The fourth proportional to 350.06, 522.63 and 289.31 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.06 : 522.63 = 289.31 : x
  2. Step 2: Convert to fraction form
    350.06/522.63 = 289.31/x
  3. Step 3: Cross multiply
    350.06x = 522.63 × 289.31
  4. Step 4: Simplify right side
    350.06x = 151,199.47
  5. Step 5: Solve for x
    x = 151,199.47/350.06
  6. Step 6: Final answer
    x = 431.93

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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.