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Finding the Fourth Proportional to 363.84, 548.36 and 346.28

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Solution

The fourth proportional to 363.84, 548.36 and 346.28 is: 521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 548.36 = 346.28 : x
  2. Step 2: Convert to fraction form
    363.84/548.36 = 346.28/x
  3. Step 3: Cross multiply
    363.84x = 548.36 × 346.28
  4. Step 4: Simplify right side
    363.84x = 189,886.10
  5. Step 5: Solve for x
    x = 189,886.10/363.84
  6. Step 6: Final answer
    x = 521.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.