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Finding the Fourth Proportional to 624.03, 935.81 and 185.16

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Solution

The fourth proportional to 624.03, 935.81 and 185.16 is: 277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.03 : 935.81 = 185.16 : x
  2. Step 2: Convert to fraction form
    624.03/935.81 = 185.16/x
  3. Step 3: Cross multiply
    624.03x = 935.81 × 185.16
  4. Step 4: Simplify right side
    624.03x = 173,273.65
  5. Step 5: Solve for x
    x = 173,273.65/624.03
  6. Step 6: Final answer
    x = 277.67

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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.