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Finding the Fourth Proportional to 54.31, 74.95 and 31

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Solution

The fourth proportional to 54.31, 74.95 and 31 is: 42.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.31 : 74.95 = 31 : x
  2. Step 2: Convert to fraction form
    54.31/74.95 = 31/x
  3. Step 3: Cross multiply
    54.31x = 74.95 × 31
  4. Step 4: Simplify right side
    54.31x = 2,323.45
  5. Step 5: Solve for x
    x = 2,323.45/54.31
  6. Step 6: Final answer
    x = 42.78

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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.