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Finding the Fourth Proportional to 349.16, 522.36 and 280.82

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Solution

The fourth proportional to 349.16, 522.36 and 280.82 is: 420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.16 : 522.36 = 280.82 : x
  2. Step 2: Convert to fraction form
    349.16/522.36 = 280.82/x
  3. Step 3: Cross multiply
    349.16x = 522.36 × 280.82
  4. Step 4: Simplify right side
    349.16x = 146,686.52
  5. Step 5: Solve for x
    x = 146,686.52/349.16
  6. Step 6: Final answer
    x = 420.12

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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.