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Finding the Fourth Proportional to 315.31, 435.16 and 231.32

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Solution

The fourth proportional to 315.31, 435.16 and 231.32 is: 319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.31 : 435.16 = 231.32 : x
  2. Step 2: Convert to fraction form
    315.31/435.16 = 231.32/x
  3. Step 3: Cross multiply
    315.31x = 435.16 × 231.32
  4. Step 4: Simplify right side
    315.31x = 100,663.24
  5. Step 5: Solve for x
    x = 100,663.24/315.31
  6. Step 6: Final answer
    x = 319.25

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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.