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Finding the Fourth Proportional to 445.70, 614.96 and 277.79

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Solution

The fourth proportional to 445.70, 614.96 and 277.79 is: 383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.70 : 614.96 = 277.79 : x
  2. Step 2: Convert to fraction form
    445.70/614.96 = 277.79/x
  3. Step 3: Cross multiply
    445.70x = 614.96 × 277.79
  4. Step 4: Simplify right side
    445.70x = 170,825.27
  5. Step 5: Solve for x
    x = 170,825.27/445.70
  6. Step 6: Final answer
    x = 383.27

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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.