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Finding the Fourth Proportional to 89.12, 132.82 and 88.40

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Solution

The fourth proportional to 89.12, 132.82 and 88.40 is: 131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.12 : 132.82 = 88.40 : x
  2. Step 2: Convert to fraction form
    89.12/132.82 = 88.40/x
  3. Step 3: Cross multiply
    89.12x = 132.82 × 88.40
  4. Step 4: Simplify right side
    89.12x = 11,741.29
  5. Step 5: Solve for x
    x = 11,741.29/89.12
  6. Step 6: Final answer
    x = 131.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.