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Finding the Fourth Proportional to 440.52, 608.42 and 300.40

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Solution

The fourth proportional to 440.52, 608.42 and 300.40 is: 414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.52 : 608.42 = 300.40 : x
  2. Step 2: Convert to fraction form
    440.52/608.42 = 300.40/x
  3. Step 3: Cross multiply
    440.52x = 608.42 × 300.40
  4. Step 4: Simplify right side
    440.52x = 182,769.37
  5. Step 5: Solve for x
    x = 182,769.37/440.52
  6. Step 6: Final answer
    x = 414.89

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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.