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Finding the Fourth Proportional to 315.37, 437.05 and 310.96

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Solution

The fourth proportional to 315.37, 437.05 and 310.96 is: 430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.37 : 437.05 = 310.96 : x
  2. Step 2: Convert to fraction form
    315.37/437.05 = 310.96/x
  3. Step 3: Cross multiply
    315.37x = 437.05 × 310.96
  4. Step 4: Simplify right side
    315.37x = 135,905.13
  5. Step 5: Solve for x
    x = 135,905.13/315.37
  6. Step 6: Final answer
    x = 430.94

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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.