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Finding the Fourth Proportional to 440.25, 659.50 and 336.23

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Solution

The fourth proportional to 440.25, 659.50 and 336.23 is: 503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.25 : 659.50 = 336.23 : x
  2. Step 2: Convert to fraction form
    440.25/659.50 = 336.23/x
  3. Step 3: Cross multiply
    440.25x = 659.50 × 336.23
  4. Step 4: Simplify right side
    440.25x = 221,743.69
  5. Step 5: Solve for x
    x = 221,743.69/440.25
  6. Step 6: Final answer
    x = 503.68

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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.