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Finding the Fourth Proportional to 440.25, 659.79 and 342.87

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Solution

The fourth proportional to 440.25, 659.79 and 342.87 is: 513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.25 : 659.79 = 342.87 : x
  2. Step 2: Convert to fraction form
    440.25/659.79 = 342.87/x
  3. Step 3: Cross multiply
    440.25x = 659.79 × 342.87
  4. Step 4: Simplify right side
    440.25x = 226,222.20
  5. Step 5: Solve for x
    x = 226,222.20/440.25
  6. Step 6: Final answer
    x = 513.85

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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.