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Finding the Fourth Proportional to 440.14, 607.56 and 309.28

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Solution

The fourth proportional to 440.14, 607.56 and 309.28 is: 426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.14 : 607.56 = 309.28 : x
  2. Step 2: Convert to fraction form
    440.14/607.56 = 309.28/x
  3. Step 3: Cross multiply
    440.14x = 607.56 × 309.28
  4. Step 4: Simplify right side
    440.14x = 187,906.16
  5. Step 5: Solve for x
    x = 187,906.16/440.14
  6. Step 6: Final answer
    x = 426.92

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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.