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Finding the Fourth Proportional to 439.48, 659.71 and 277.25

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Solution

The fourth proportional to 439.48, 659.71 and 277.25 is: 416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.48 : 659.71 = 277.25 : x
  2. Step 2: Convert to fraction form
    439.48/659.71 = 277.25/x
  3. Step 3: Cross multiply
    439.48x = 659.71 × 277.25
  4. Step 4: Simplify right side
    439.48x = 182,904.60
  5. Step 5: Solve for x
    x = 182,904.60/439.48
  6. Step 6: Final answer
    x = 416.19

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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.