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Finding the Fourth Proportional to 624.05, 935.55 and 233.80

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Solution

The fourth proportional to 624.05, 935.55 and 233.80 is: 350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.05 : 935.55 = 233.80 : x
  2. Step 2: Convert to fraction form
    624.05/935.55 = 233.80/x
  3. Step 3: Cross multiply
    624.05x = 935.55 × 233.80
  4. Step 4: Simplify right side
    624.05x = 218,729.25
  5. Step 5: Solve for x
    x = 218,729.25/624.05
  6. Step 6: Final answer
    x = 350.50

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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.