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Finding the Fourth Proportional to 88.36, 131.80 and 77.43

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Solution

The fourth proportional to 88.36, 131.80 and 77.43 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.36 : 131.80 = 77.43 : x
  2. Step 2: Convert to fraction form
    88.36/131.80 = 77.43/x
  3. Step 3: Cross multiply
    88.36x = 131.80 × 77.43
  4. Step 4: Simplify right side
    88.36x = 10,204.81
  5. Step 5: Solve for x
    x = 10,204.81/88.36
  6. Step 6: Final answer
    x = 115.49

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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.