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Finding the Fourth Proportional to 440.47, 608.19 and 309.86

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Solution

The fourth proportional to 440.47, 608.19 and 309.86 is: 427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.47 : 608.19 = 309.86 : x
  2. Step 2: Convert to fraction form
    440.47/608.19 = 309.86/x
  3. Step 3: Cross multiply
    440.47x = 608.19 × 309.86
  4. Step 4: Simplify right side
    440.47x = 188,450.71
  5. Step 5: Solve for x
    x = 188,450.71/440.47
  6. Step 6: Final answer
    x = 427.84

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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.