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Finding the Fourth Proportional to 401.48, 601.61 and 363.54

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Solution

The fourth proportional to 401.48, 601.61 and 363.54 is: 544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.48 : 601.61 = 363.54 : x
  2. Step 2: Convert to fraction form
    401.48/601.61 = 363.54/x
  3. Step 3: Cross multiply
    401.48x = 601.61 × 363.54
  4. Step 4: Simplify right side
    401.48x = 218,707.48
  5. Step 5: Solve for x
    x = 218,707.48/401.48
  6. Step 6: Final answer
    x = 544.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.