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Finding the Fourth Proportional to 132.51, 182.88 and 74.31

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Solution

The fourth proportional to 132.51, 182.88 and 74.31 is: 102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.51 : 182.88 = 74.31 : x
  2. Step 2: Convert to fraction form
    132.51/182.88 = 74.31/x
  3. Step 3: Cross multiply
    132.51x = 182.88 × 74.31
  4. Step 4: Simplify right side
    132.51x = 13,589.81
  5. Step 5: Solve for x
    x = 13,589.81/132.51
  6. Step 6: Final answer
    x = 102.56

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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.