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Finding the Fourth Proportional to 349.03, 522.84 and 280.18

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Solution

The fourth proportional to 349.03, 522.84 and 280.18 is: 419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.03 : 522.84 = 280.18 : x
  2. Step 2: Convert to fraction form
    349.03/522.84 = 280.18/x
  3. Step 3: Cross multiply
    349.03x = 522.84 × 280.18
  4. Step 4: Simplify right side
    349.03x = 146,489.31
  5. Step 5: Solve for x
    x = 146,489.31/349.03
  6. Step 6: Final answer
    x = 419.70

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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.