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Finding the Fourth Proportional to 318.46, 436.29 and 306.15

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Solution

The fourth proportional to 318.46, 436.29 and 306.15 is: 419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.46 : 436.29 = 306.15 : x
  2. Step 2: Convert to fraction form
    318.46/436.29 = 306.15/x
  3. Step 3: Cross multiply
    318.46x = 436.29 × 306.15
  4. Step 4: Simplify right side
    318.46x = 133,570.18
  5. Step 5: Solve for x
    x = 133,570.18/318.46
  6. Step 6: Final answer
    x = 419.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.