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Finding the Fourth Proportional to 350.08, 522.62 and 298.18

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Solution

The fourth proportional to 350.08, 522.62 and 298.18 is: 445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.08 : 522.62 = 298.18 : x
  2. Step 2: Convert to fraction form
    350.08/522.62 = 298.18/x
  3. Step 3: Cross multiply
    350.08x = 522.62 × 298.18
  4. Step 4: Simplify right side
    350.08x = 155,834.83
  5. Step 5: Solve for x
    x = 155,834.83/350.08
  6. Step 6: Final answer
    x = 445.14

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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.