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Finding the Fourth Proportional to 315.71, 437.36 and 308.15

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Solution

The fourth proportional to 315.71, 437.36 and 308.15 is: 426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.71 : 437.36 = 308.15 : x
  2. Step 2: Convert to fraction form
    315.71/437.36 = 308.15/x
  3. Step 3: Cross multiply
    315.71x = 437.36 × 308.15
  4. Step 4: Simplify right side
    315.71x = 134,771.07
  5. Step 5: Solve for x
    x = 134,771.07/315.71
  6. Step 6: Final answer
    x = 426.89

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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.