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Finding the Fourth Proportional to 363.82, 542.54 and 355.18

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Solution

The fourth proportional to 363.82, 542.54 and 355.18 is: 529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.82 : 542.54 = 355.18 : x
  2. Step 2: Convert to fraction form
    363.82/542.54 = 355.18/x
  3. Step 3: Cross multiply
    363.82x = 542.54 × 355.18
  4. Step 4: Simplify right side
    363.82x = 192,699.36
  5. Step 5: Solve for x
    x = 192,699.36/363.82
  6. Step 6: Final answer
    x = 529.66

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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.