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Finding the Fourth Proportional to 349.57, 482.42 and 216.83

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Solution

The fourth proportional to 349.57, 482.42 and 216.83 is: 299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.57 : 482.42 = 216.83 : x
  2. Step 2: Convert to fraction form
    349.57/482.42 = 216.83/x
  3. Step 3: Cross multiply
    349.57x = 482.42 × 216.83
  4. Step 4: Simplify right side
    349.57x = 104,603.13
  5. Step 5: Solve for x
    x = 104,603.13/349.57
  6. Step 6: Final answer
    x = 299.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.