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Finding the Fourth Proportional to 439.72, 659.52 and 277.72

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Solution

The fourth proportional to 439.72, 659.52 and 277.72 is: 416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.72 : 659.52 = 277.72 : x
  2. Step 2: Convert to fraction form
    439.72/659.52 = 277.72/x
  3. Step 3: Cross multiply
    439.72x = 659.52 × 277.72
  4. Step 4: Simplify right side
    439.72x = 183,161.89
  5. Step 5: Solve for x
    x = 183,161.89/439.72
  6. Step 6: Final answer
    x = 416.54

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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.