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Finding the Fourth Proportional to 416.28, 624.53 and 185.23

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Solution

The fourth proportional to 416.28, 624.53 and 185.23 is: 277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.28 : 624.53 = 185.23 : x
  2. Step 2: Convert to fraction form
    416.28/624.53 = 185.23/x
  3. Step 3: Cross multiply
    416.28x = 624.53 × 185.23
  4. Step 4: Simplify right side
    416.28x = 115,680.59
  5. Step 5: Solve for x
    x = 115,680.59/416.28
  6. Step 6: Final answer
    x = 277.89

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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.