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Finding the Fourth Proportional to 315.31, 435.07 and 182.51

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Solution

The fourth proportional to 315.31, 435.07 and 182.51 is: 251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.31 : 435.07 = 182.51 : x
  2. Step 2: Convert to fraction form
    315.31/435.07 = 182.51/x
  3. Step 3: Cross multiply
    315.31x = 435.07 × 182.51
  4. Step 4: Simplify right side
    315.31x = 79,404.63
  5. Step 5: Solve for x
    x = 79,404.63/315.31
  6. Step 6: Final answer
    x = 251.83

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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.