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Finding the Fourth Proportional to 363.84, 542.20 and 353.31

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Solution

The fourth proportional to 363.84, 542.20 and 353.31 is: 526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 542.20 = 353.31 : x
  2. Step 2: Convert to fraction form
    363.84/542.20 = 353.31/x
  3. Step 3: Cross multiply
    363.84x = 542.20 × 353.31
  4. Step 4: Simplify right side
    363.84x = 191,564.68
  5. Step 5: Solve for x
    x = 191,564.68/363.84
  6. Step 6: Final answer
    x = 526.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.