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Finding the Fourth Proportional to 440.08, 659.40 and 208.42

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Solution

The fourth proportional to 440.08, 659.40 and 208.42 is: 312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.08 : 659.40 = 208.42 : x
  2. Step 2: Convert to fraction form
    440.08/659.40 = 208.42/x
  3. Step 3: Cross multiply
    440.08x = 659.40 × 208.42
  4. Step 4: Simplify right side
    440.08x = 137,432.15
  5. Step 5: Solve for x
    x = 137,432.15/440.08
  6. Step 6: Final answer
    x = 312.29

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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.