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Finding the Fourth Proportional to 363.53, 542.48 and 351.69

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Solution

The fourth proportional to 363.53, 542.48 and 351.69 is: 524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.53 : 542.48 = 351.69 : x
  2. Step 2: Convert to fraction form
    363.53/542.48 = 351.69/x
  3. Step 3: Cross multiply
    363.53x = 542.48 × 351.69
  4. Step 4: Simplify right side
    363.53x = 190,783.03
  5. Step 5: Solve for x
    x = 190,783.03/363.53
  6. Step 6: Final answer
    x = 524.81

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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.