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Finding the Fourth Proportional to 353.84, 488.40 and 213.87

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Solution

The fourth proportional to 353.84, 488.40 and 213.87 is: 295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.84 : 488.40 = 213.87 : x
  2. Step 2: Convert to fraction form
    353.84/488.40 = 213.87/x
  3. Step 3: Cross multiply
    353.84x = 488.40 × 213.87
  4. Step 4: Simplify right side
    353.84x = 104,455.14
  5. Step 5: Solve for x
    x = 104,455.14/353.84
  6. Step 6: Final answer
    x = 295.21

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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.