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Finding the Fourth Proportional to 470.20, 704.76 and 277.24

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Solution

The fourth proportional to 470.20, 704.76 and 277.24 is: 415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.20 : 704.76 = 277.24 : x
  2. Step 2: Convert to fraction form
    470.20/704.76 = 277.24/x
  3. Step 3: Cross multiply
    470.20x = 704.76 × 277.24
  4. Step 4: Simplify right side
    470.20x = 195,387.66
  5. Step 5: Solve for x
    x = 195,387.66/470.20
  6. Step 6: Final answer
    x = 415.54

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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.