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Finding the Fourth Proportional to 319.12, 437.78 and 310.58

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Solution

The fourth proportional to 319.12, 437.78 and 310.58 is: 426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.12 : 437.78 = 310.58 : x
  2. Step 2: Convert to fraction form
    319.12/437.78 = 310.58/x
  3. Step 3: Cross multiply
    319.12x = 437.78 × 310.58
  4. Step 4: Simplify right side
    319.12x = 135,965.71
  5. Step 5: Solve for x
    x = 135,965.71/319.12
  6. Step 6: Final answer
    x = 426.06

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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.