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Finding the Fourth Proportional to 350.73, 522.59 and 312.39

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Solution

The fourth proportional to 350.73, 522.59 and 312.39 is: 465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.73 : 522.59 = 312.39 : x
  2. Step 2: Convert to fraction form
    350.73/522.59 = 312.39/x
  3. Step 3: Cross multiply
    350.73x = 522.59 × 312.39
  4. Step 4: Simplify right side
    350.73x = 163,250.33
  5. Step 5: Solve for x
    x = 163,250.33/350.73
  6. Step 6: Final answer
    x = 465.46

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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.