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Finding the Fourth Proportional to 88.31, 131.81 and 76.16

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Solution

The fourth proportional to 88.31, 131.81 and 76.16 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.31 : 131.81 = 76.16 : x
  2. Step 2: Convert to fraction form
    88.31/131.81 = 76.16/x
  3. Step 3: Cross multiply
    88.31x = 131.81 × 76.16
  4. Step 4: Simplify right side
    88.31x = 10,037.61
  5. Step 5: Solve for x
    x = 10,037.61/88.31
  6. Step 6: Final answer
    x = 113.67

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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.