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Finding the Fourth Proportional to 318.93, 440.24 and 310.15

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Solution

The fourth proportional to 318.93, 440.24 and 310.15 is: 428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.93 : 440.24 = 310.15 : x
  2. Step 2: Convert to fraction form
    318.93/440.24 = 310.15/x
  3. Step 3: Cross multiply
    318.93x = 440.24 × 310.15
  4. Step 4: Simplify right side
    318.93x = 136,539.89
  5. Step 5: Solve for x
    x = 136,539.89/318.93
  6. Step 6: Final answer
    x = 428.12

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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.