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Finding the Fourth Proportional to 318.07, 441.18 and 309.64

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Solution

The fourth proportional to 318.07, 441.18 and 309.64 is: 429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.07 : 441.18 = 309.64 : x
  2. Step 2: Convert to fraction form
    318.07/441.18 = 309.64/x
  3. Step 3: Cross multiply
    318.07x = 441.18 × 309.64
  4. Step 4: Simplify right side
    318.07x = 136,606.98
  5. Step 5: Solve for x
    x = 136,606.98/318.07
  6. Step 6: Final answer
    x = 429.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.