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Finding the Fourth Proportional to 301.53, 416.14 and 173.78

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Solution

The fourth proportional to 301.53, 416.14 and 173.78 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.53 : 416.14 = 173.78 : x
  2. Step 2: Convert to fraction form
    301.53/416.14 = 173.78/x
  3. Step 3: Cross multiply
    301.53x = 416.14 × 173.78
  4. Step 4: Simplify right side
    301.53x = 72,316.81
  5. Step 5: Solve for x
    x = 72,316.81/301.53
  6. Step 6: Final answer
    x = 239.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.